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Finding the Fourth Proportional to 2,753.60, 4,130.72 and 998.40

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Solution

The fourth proportional to 2,753.60, 4,130.72 and 998.40 is: 1,497.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.60 : 4,130.72 = 998.40 : x
  2. Step 2: Convert to fraction form
    2,753.60/4,130.72 = 998.40/x
  3. Step 3: Cross multiply
    2,753.60x = 4,130.72 × 998.40
  4. Step 4: Simplify right side
    2,753.60x = 4,124,110.85
  5. Step 5: Solve for x
    x = 4,124,110.85/2,753.60
  6. Step 6: Final answer
    x = 1,497.72

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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.