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Finding the Fourth Proportional to 1,416.52, 2,125.32 and 492.18

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Solution

The fourth proportional to 1,416.52, 2,125.32 and 492.18 is: 738.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.52 : 2,125.32 = 492.18 : x
  2. Step 2: Convert to fraction form
    1,416.52/2,125.32 = 492.18/x
  3. Step 3: Cross multiply
    1,416.52x = 2,125.32 × 492.18
  4. Step 4: Simplify right side
    1,416.52x = 1,046,040.00
  5. Step 5: Solve for x
    x = 1,046,040.00/1,416.52
  6. Step 6: Final answer
    x = 738.46

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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.