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Finding the Fourth Proportional to 3,153.74, 4,731.31 and 962.63

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Solution

The fourth proportional to 3,153.74, 4,731.31 and 962.63 is: 1,444.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.74 : 4,731.31 = 962.63 : x
  2. Step 2: Convert to fraction form
    3,153.74/4,731.31 = 962.63/x
  3. Step 3: Cross multiply
    3,153.74x = 4,731.31 × 962.63
  4. Step 4: Simplify right side
    3,153.74x = 4,554,500.95
  5. Step 5: Solve for x
    x = 4,554,500.95/3,153.74
  6. Step 6: Final answer
    x = 1,444.16

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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.