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Finding the Fourth Proportional to 2,442.04, 3,663.23 and 981.20

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Solution

The fourth proportional to 2,442.04, 3,663.23 and 981.20 is: 1,471.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.04 : 3,663.23 = 981.20 : x
  2. Step 2: Convert to fraction form
    2,442.04/3,663.23 = 981.20/x
  3. Step 3: Cross multiply
    2,442.04x = 3,663.23 × 981.20
  4. Step 4: Simplify right side
    2,442.04x = 3,594,353.20
  5. Step 5: Solve for x
    x = 3,594,353.20/2,442.04
  6. Step 6: Final answer
    x = 1,471.86

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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.