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Finding the Fourth Proportional to 1,234.23, 1,851.72 and 740.55

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Solution

The fourth proportional to 1,234.23, 1,851.72 and 740.55 is: 1,111.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.23 : 1,851.72 = 740.55 : x
  2. Step 2: Convert to fraction form
    1,234.23/1,851.72 = 740.55/x
  3. Step 3: Cross multiply
    1,234.23x = 1,851.72 × 740.55
  4. Step 4: Simplify right side
    1,234.23x = 1,371,291.25
  5. Step 5: Solve for x
    x = 1,371,291.25/1,234.23
  6. Step 6: Final answer
    x = 1,111.05

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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.