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Finding the Fourth Proportional to 2,419.52, 3,630.40 and 753.90

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Solution

The fourth proportional to 2,419.52, 3,630.40 and 753.90 is: 1,131.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.52 : 3,630.40 = 753.90 : x
  2. Step 2: Convert to fraction form
    2,419.52/3,630.40 = 753.90/x
  3. Step 3: Cross multiply
    2,419.52x = 3,630.40 × 753.90
  4. Step 4: Simplify right side
    2,419.52x = 2,736,940.41
  5. Step 5: Solve for x
    x = 2,736,940.41/2,419.52
  6. Step 6: Final answer
    x = 1,131.19

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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.