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Finding the Fourth Proportional to 2,464.02, 3,695.67 and 709.17

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Solution

The fourth proportional to 2,464.02, 3,695.67 and 709.17 is: 1,063.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.02 : 3,695.67 = 709.17 : x
  2. Step 2: Convert to fraction form
    2,464.02/3,695.67 = 709.17/x
  3. Step 3: Cross multiply
    2,464.02x = 3,695.67 × 709.17
  4. Step 4: Simplify right side
    2,464.02x = 2,620,841.59
  5. Step 5: Solve for x
    x = 2,620,841.59/2,464.02
  6. Step 6: Final answer
    x = 1,063.65

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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.