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Finding the Fourth Proportional to 3,314.52, 4,972.50 and 1,465.02

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Solution

The fourth proportional to 3,314.52, 4,972.50 and 1,465.02 is: 2,197.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.52 : 4,972.50 = 1,465.02 : x
  2. Step 2: Convert to fraction form
    3,314.52/4,972.50 = 1,465.02/x
  3. Step 3: Cross multiply
    3,314.52x = 4,972.50 × 1,465.02
  4. Step 4: Simplify right side
    3,314.52x = 7,284,811.95
  5. Step 5: Solve for x
    x = 7,284,811.95/3,314.52
  6. Step 6: Final answer
    x = 2,197.85

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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.