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Finding the Fourth Proportional to 1,512.15, 2,267.87 and 416.61

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Solution

The fourth proportional to 1,512.15, 2,267.87 and 416.61 is: 624.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.15 : 2,267.87 = 416.61 : x
  2. Step 2: Convert to fraction form
    1,512.15/2,267.87 = 416.61/x
  3. Step 3: Cross multiply
    1,512.15x = 2,267.87 × 416.61
  4. Step 4: Simplify right side
    1,512.15x = 944,807.02
  5. Step 5: Solve for x
    x = 944,807.02/1,512.15
  6. Step 6: Final answer
    x = 624.81

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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.