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Finding the Fourth Proportional to 2,447.02, 3,671.37 and 715.90

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Solution

The fourth proportional to 2,447.02, 3,671.37 and 715.90 is: 1,074.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.02 : 3,671.37 = 715.90 : x
  2. Step 2: Convert to fraction form
    2,447.02/3,671.37 = 715.90/x
  3. Step 3: Cross multiply
    2,447.02x = 3,671.37 × 715.90
  4. Step 4: Simplify right side
    2,447.02x = 2,628,333.78
  5. Step 5: Solve for x
    x = 2,628,333.78/2,447.02
  6. Step 6: Final answer
    x = 1,074.10

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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.