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Finding the Fourth Proportional to 1,616.64, 2,424.72 and 521.04

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Solution

The fourth proportional to 1,616.64, 2,424.72 and 521.04 is: 781.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.64 : 2,424.72 = 521.04 : x
  2. Step 2: Convert to fraction form
    1,616.64/2,424.72 = 521.04/x
  3. Step 3: Cross multiply
    1,616.64x = 2,424.72 × 521.04
  4. Step 4: Simplify right side
    1,616.64x = 1,263,376.11
  5. Step 5: Solve for x
    x = 1,263,376.11/1,616.64
  6. Step 6: Final answer
    x = 781.48

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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.