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Finding the Fourth Proportional to 2,447.14, 3,670.32 and 715.36

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Solution

The fourth proportional to 2,447.14, 3,670.32 and 715.36 is: 1,072.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.14 : 3,670.32 = 715.36 : x
  2. Step 2: Convert to fraction form
    2,447.14/3,670.32 = 715.36/x
  3. Step 3: Cross multiply
    2,447.14x = 3,670.32 × 715.36
  4. Step 4: Simplify right side
    2,447.14x = 2,625,600.12
  5. Step 5: Solve for x
    x = 2,625,600.12/2,447.14
  6. Step 6: Final answer
    x = 1,072.93

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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.