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Finding the Fourth Proportional to 1,234.24, 1,851.40 and 610.08

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Solution

The fourth proportional to 1,234.24, 1,851.40 and 610.08 is: 915.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.24 : 1,851.40 = 610.08 : x
  2. Step 2: Convert to fraction form
    1,234.24/1,851.40 = 610.08/x
  3. Step 3: Cross multiply
    1,234.24x = 1,851.40 × 610.08
  4. Step 4: Simplify right side
    1,234.24x = 1,129,502.11
  5. Step 5: Solve for x
    x = 1,129,502.11/1,234.24
  6. Step 6: Final answer
    x = 915.14

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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.