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Finding the Fourth Proportional to 2,442.48, 3,665.52 and 981.72

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Solution

The fourth proportional to 2,442.48, 3,665.52 and 981.72 is: 1,473.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.48 : 3,665.52 = 981.72 : x
  2. Step 2: Convert to fraction form
    2,442.48/3,665.52 = 981.72/x
  3. Step 3: Cross multiply
    2,442.48x = 3,665.52 × 981.72
  4. Step 4: Simplify right side
    2,442.48x = 3,598,514.29
  5. Step 5: Solve for x
    x = 3,598,514.29/2,442.48
  6. Step 6: Final answer
    x = 1,473.30

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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.