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Finding the Fourth Proportional to 1,861.31, 2,793.25 and 707.06

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Solution

The fourth proportional to 1,861.31, 2,793.25 and 707.06 is: 1,061.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.31 : 2,793.25 = 707.06 : x
  2. Step 2: Convert to fraction form
    1,861.31/2,793.25 = 707.06/x
  3. Step 3: Cross multiply
    1,861.31x = 2,793.25 × 707.06
  4. Step 4: Simplify right side
    1,861.31x = 1,975,003.21
  5. Step 5: Solve for x
    x = 1,975,003.21/1,861.31
  6. Step 6: Final answer
    x = 1,061.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.