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Finding the Fourth Proportional to 3,042.75, 4,564.15 and 962.71

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Solution

The fourth proportional to 3,042.75, 4,564.15 and 962.71 is: 1,444.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.75 : 4,564.15 = 962.71 : x
  2. Step 2: Convert to fraction form
    3,042.75/4,564.15 = 962.71/x
  3. Step 3: Cross multiply
    3,042.75x = 4,564.15 × 962.71
  4. Step 4: Simplify right side
    3,042.75x = 4,393,950.44
  5. Step 5: Solve for x
    x = 4,393,950.44/3,042.75
  6. Step 6: Final answer
    x = 1,444.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.