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Finding the Fourth Proportional to 2,654.92, 3,666.12 and 1,661.92

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Solution

The fourth proportional to 2,654.92, 3,666.12 and 1,661.92 is: 2,294.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.92 : 3,666.12 = 1,661.92 : x
  2. Step 2: Convert to fraction form
    2,654.92/3,666.12 = 1,661.92/x
  3. Step 3: Cross multiply
    2,654.92x = 3,666.12 × 1,661.92
  4. Step 4: Simplify right side
    2,654.92x = 6,092,798.15
  5. Step 5: Solve for x
    x = 6,092,798.15/2,654.92
  6. Step 6: Final answer
    x = 2,294.91

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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.