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Finding the Fourth Proportional to 2,447.13, 3,670.70 and 715.76

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Solution

The fourth proportional to 2,447.13, 3,670.70 and 715.76 is: 1,073.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.13 : 3,670.70 = 715.76 : x
  2. Step 2: Convert to fraction form
    2,447.13/3,670.70 = 715.76/x
  3. Step 3: Cross multiply
    2,447.13x = 3,670.70 × 715.76
  4. Step 4: Simplify right side
    2,447.13x = 2,627,340.23
  5. Step 5: Solve for x
    x = 2,627,340.23/2,447.13
  6. Step 6: Final answer
    x = 1,073.64

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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.