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Finding the Fourth Proportional to 3,154.16, 4,731.22 and 962.88

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Solution

The fourth proportional to 3,154.16, 4,731.22 and 962.88 is: 1,444.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.16 : 4,731.22 = 962.88 : x
  2. Step 2: Convert to fraction form
    3,154.16/4,731.22 = 962.88/x
  3. Step 3: Cross multiply
    3,154.16x = 4,731.22 × 962.88
  4. Step 4: Simplify right side
    3,154.16x = 4,555,597.11
  5. Step 5: Solve for x
    x = 4,555,597.11/3,154.16
  6. Step 6: Final answer
    x = 1,444.31

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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.