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Finding the Fourth Proportional to 3,002.97, 4,148.10 and 2,415.72

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Solution

The fourth proportional to 3,002.97, 4,148.10 and 2,415.72 is: 3,336.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.97 : 4,148.10 = 2,415.72 : x
  2. Step 2: Convert to fraction form
    3,002.97/4,148.10 = 2,415.72/x
  3. Step 3: Cross multiply
    3,002.97x = 4,148.10 × 2,415.72
  4. Step 4: Simplify right side
    3,002.97x = 10,020,648.13
  5. Step 5: Solve for x
    x = 10,020,648.13/3,002.97
  6. Step 6: Final answer
    x = 3,336.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.