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Finding the Fourth Proportional to 1,616.88, 2,423.52 and 693.21

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Solution

The fourth proportional to 1,616.88, 2,423.52 and 693.21 is: 1,039.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.88 : 2,423.52 = 693.21 : x
  2. Step 2: Convert to fraction form
    1,616.88/2,423.52 = 693.21/x
  3. Step 3: Cross multiply
    1,616.88x = 2,423.52 × 693.21
  4. Step 4: Simplify right side
    1,616.88x = 1,680,008.30
  5. Step 5: Solve for x
    x = 1,680,008.30/1,616.88
  6. Step 6: Final answer
    x = 1,039.04

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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.