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Finding the Fourth Proportional to 2,442.52, 3,646.01 and 2,262.04

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Solution

The fourth proportional to 2,442.52, 3,646.01 and 2,262.04 is: 3,376.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.52 : 3,646.01 = 2,262.04 : x
  2. Step 2: Convert to fraction form
    2,442.52/3,646.01 = 2,262.04/x
  3. Step 3: Cross multiply
    2,442.52x = 3,646.01 × 2,262.04
  4. Step 4: Simplify right side
    2,442.52x = 8,247,420.46
  5. Step 5: Solve for x
    x = 8,247,420.46/2,442.52
  6. Step 6: Final answer
    x = 3,376.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.