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Finding the Fourth Proportional to 1,549.64, 2,324.68 and 964.16

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Solution

The fourth proportional to 1,549.64, 2,324.68 and 964.16 is: 1,446.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.64 : 2,324.68 = 964.16 : x
  2. Step 2: Convert to fraction form
    1,549.64/2,324.68 = 964.16/x
  3. Step 3: Cross multiply
    1,549.64x = 2,324.68 × 964.16
  4. Step 4: Simplify right side
    1,549.64x = 2,241,363.47
  5. Step 5: Solve for x
    x = 2,241,363.47/1,549.64
  6. Step 6: Final answer
    x = 1,446.38

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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.