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Finding the Fourth Proportional to 3,154.02, 4,731.80 and 962.97

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Solution

The fourth proportional to 3,154.02, 4,731.80 and 962.97 is: 1,444.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.02 : 4,731.80 = 962.97 : x
  2. Step 2: Convert to fraction form
    3,154.02/4,731.80 = 962.97/x
  3. Step 3: Cross multiply
    3,154.02x = 4,731.80 × 962.97
  4. Step 4: Simplify right side
    3,154.02x = 4,556,581.45
  5. Step 5: Solve for x
    x = 4,556,581.45/3,154.02
  6. Step 6: Final answer
    x = 1,444.69

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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.