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Finding the Fourth Proportional to 2,642.76, 3,642.78 and 2,082.36

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Solution

The fourth proportional to 2,642.76, 3,642.78 and 2,082.36 is: 2,870.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.76 : 3,642.78 = 2,082.36 : x
  2. Step 2: Convert to fraction form
    2,642.76/3,642.78 = 2,082.36/x
  3. Step 3: Cross multiply
    2,642.76x = 3,642.78 × 2,082.36
  4. Step 4: Simplify right side
    2,642.76x = 7,585,579.36
  5. Step 5: Solve for x
    x = 7,585,579.36/2,642.76
  6. Step 6: Final answer
    x = 2,870.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.