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Finding the Fourth Proportional to 2,082.20, 3,123.02 and 695.06

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Solution

The fourth proportional to 2,082.20, 3,123.02 and 695.06 is: 1,042.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.20 : 3,123.02 = 695.06 : x
  2. Step 2: Convert to fraction form
    2,082.20/3,123.02 = 695.06/x
  3. Step 3: Cross multiply
    2,082.20x = 3,123.02 × 695.06
  4. Step 4: Simplify right side
    2,082.20x = 2,170,686.28
  5. Step 5: Solve for x
    x = 2,170,686.28/2,082.20
  6. Step 6: Final answer
    x = 1,042.50

Related Problems

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.