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Finding the Fourth Proportional to 2,713.52, 3,746.34 and 2,082.84

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Solution

The fourth proportional to 2,713.52, 3,746.34 and 2,082.84 is: 2,875.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.52 : 3,746.34 = 2,082.84 : x
  2. Step 2: Convert to fraction form
    2,713.52/3,746.34 = 2,082.84/x
  3. Step 3: Cross multiply
    2,713.52x = 3,746.34 × 2,082.84
  4. Step 4: Simplify right side
    2,713.52x = 7,803,020.36
  5. Step 5: Solve for x
    x = 7,803,020.36/2,713.52
  6. Step 6: Final answer
    x = 2,875.61

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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.