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Finding the Fourth Proportional to 2,575.90, 3,861.54 and 932.06

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Solution

The fourth proportional to 2,575.90, 3,861.54 and 932.06 is: 1,397.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.90 : 3,861.54 = 932.06 : x
  2. Step 2: Convert to fraction form
    2,575.90/3,861.54 = 932.06/x
  3. Step 3: Cross multiply
    2,575.90x = 3,861.54 × 932.06
  4. Step 4: Simplify right side
    2,575.90x = 3,599,186.97
  5. Step 5: Solve for x
    x = 3,599,186.97/2,575.90
  6. Step 6: Final answer
    x = 1,397.25

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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.