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Finding the Fourth Proportional to 2,552.40, 3,829.61 and 993.15

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Solution

The fourth proportional to 2,552.40, 3,829.61 and 993.15 is: 1,490.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.40 : 3,829.61 = 993.15 : x
  2. Step 2: Convert to fraction form
    2,552.40/3,829.61 = 993.15/x
  3. Step 3: Cross multiply
    2,552.40x = 3,829.61 × 993.15
  4. Step 4: Simplify right side
    2,552.40x = 3,803,377.17
  5. Step 5: Solve for x
    x = 3,803,377.17/2,552.40
  6. Step 6: Final answer
    x = 1,490.12

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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.