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Finding the Fourth Proportional to 2,463.62, 3,702.85 and 1,603.40

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Solution

The fourth proportional to 2,463.62, 3,702.85 and 1,603.40 is: 2,409.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.62 : 3,702.85 = 1,603.40 : x
  2. Step 2: Convert to fraction form
    2,463.62/3,702.85 = 1,603.40/x
  3. Step 3: Cross multiply
    2,463.62x = 3,702.85 × 1,603.40
  4. Step 4: Simplify right side
    2,463.62x = 5,937,127.17
  5. Step 5: Solve for x
    x = 5,937,127.17/2,463.62
  6. Step 6: Final answer
    x = 2,409.92

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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.