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Finding the Fourth Proportional to 3,042.86, 4,564.74 and 962.40

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Solution

The fourth proportional to 3,042.86, 4,564.74 and 962.40 is: 1,443.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.86 : 4,564.74 = 962.40 : x
  2. Step 2: Convert to fraction form
    3,042.86/4,564.74 = 962.40/x
  3. Step 3: Cross multiply
    3,042.86x = 4,564.74 × 962.40
  4. Step 4: Simplify right side
    3,042.86x = 4,393,105.78
  5. Step 5: Solve for x
    x = 4,393,105.78/3,042.86
  6. Step 6: Final answer
    x = 1,443.74

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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.