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Finding the Fourth Proportional to 3,155.12, 4,732.53 and 964.01

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Solution

The fourth proportional to 3,155.12, 4,732.53 and 964.01 is: 1,445.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.12 : 4,732.53 = 964.01 : x
  2. Step 2: Convert to fraction form
    3,155.12/4,732.53 = 964.01/x
  3. Step 3: Cross multiply
    3,155.12x = 4,732.53 × 964.01
  4. Step 4: Simplify right side
    3,155.12x = 4,562,182.58
  5. Step 5: Solve for x
    x = 4,562,182.58/3,155.12
  6. Step 6: Final answer
    x = 1,445.96

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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.