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Finding the Fourth Proportional to 2,562.92, 3,537 and 1,932.34

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Solution

The fourth proportional to 2,562.92, 3,537 and 1,932.34 is: 2,666.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.92 : 3,537 = 1,932.34 : x
  2. Step 2: Convert to fraction form
    2,562.92/3,537 = 1,932.34/x
  3. Step 3: Cross multiply
    2,562.92x = 3,537 × 1,932.34
  4. Step 4: Simplify right side
    2,562.92x = 6,834,677.74
  5. Step 5: Solve for x
    x = 6,834,677.74/2,562.92
  6. Step 6: Final answer
    x = 2,666.75

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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.