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Finding the Fourth Proportional to 3,153.94, 4,731.60 and 962.61

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Solution

The fourth proportional to 3,153.94, 4,731.60 and 962.61 is: 1,444.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.94 : 4,731.60 = 962.61 : x
  2. Step 2: Convert to fraction form
    3,153.94/4,731.60 = 962.61/x
  3. Step 3: Cross multiply
    3,153.94x = 4,731.60 × 962.61
  4. Step 4: Simplify right side
    3,153.94x = 4,554,685.48
  5. Step 5: Solve for x
    x = 4,554,685.48/3,153.94
  6. Step 6: Final answer
    x = 1,444.13

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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.