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Finding the Fourth Proportional to 2,482.25, 3,715.17 and 2,394.77

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Solution

The fourth proportional to 2,482.25, 3,715.17 and 2,394.77 is: 3,584.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.25 : 3,715.17 = 2,394.77 : x
  2. Step 2: Convert to fraction form
    2,482.25/3,715.17 = 2,394.77/x
  3. Step 3: Cross multiply
    2,482.25x = 3,715.17 × 2,394.77
  4. Step 4: Simplify right side
    2,482.25x = 8,896,950.10
  5. Step 5: Solve for x
    x = 8,896,950.10/2,482.25
  6. Step 6: Final answer
    x = 3,584.24

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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.