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Finding the Fourth Proportional to 2,402.87, 3,603.59 and 1,291.61

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Solution

The fourth proportional to 2,402.87, 3,603.59 and 1,291.61 is: 1,937.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.87 : 3,603.59 = 1,291.61 : x
  2. Step 2: Convert to fraction form
    2,402.87/3,603.59 = 1,291.61/x
  3. Step 3: Cross multiply
    2,402.87x = 3,603.59 × 1,291.61
  4. Step 4: Simplify right side
    2,402.87x = 4,654,408.40
  5. Step 5: Solve for x
    x = 4,654,408.40/2,402.87
  6. Step 6: Final answer
    x = 1,937.02

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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.