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Finding the Fourth Proportional to 3,154.12, 4,732.00 and 962.87

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Solution

The fourth proportional to 3,154.12, 4,732.00 and 962.87 is: 1,444.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.12 : 4,732.00 = 962.87 : x
  2. Step 2: Convert to fraction form
    3,154.12/4,732.00 = 962.87/x
  3. Step 3: Cross multiply
    3,154.12x = 4,732.00 × 962.87
  4. Step 4: Simplify right side
    3,154.12x = 4,556,274.77
  5. Step 5: Solve for x
    x = 4,556,274.77/3,154.12
  6. Step 6: Final answer
    x = 1,444.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.