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Finding the Fourth Proportional to 1,486.87, 2,052.12 and 964.42

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Solution

The fourth proportional to 1,486.87, 2,052.12 and 964.42 is: 1,331.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.87 : 2,052.12 = 964.42 : x
  2. Step 2: Convert to fraction form
    1,486.87/2,052.12 = 964.42/x
  3. Step 3: Cross multiply
    1,486.87x = 2,052.12 × 964.42
  4. Step 4: Simplify right side
    1,486.87x = 1,979,105.57
  5. Step 5: Solve for x
    x = 1,979,105.57/1,486.87
  6. Step 6: Final answer
    x = 1,331.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.