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Finding the Fourth Proportional to 1,616.34, 2,425.50 and 642.30

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Solution

The fourth proportional to 1,616.34, 2,425.50 and 642.30 is: 963.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.34 : 2,425.50 = 642.30 : x
  2. Step 2: Convert to fraction form
    1,616.34/2,425.50 = 642.30/x
  3. Step 3: Cross multiply
    1,616.34x = 2,425.50 × 642.30
  4. Step 4: Simplify right side
    1,616.34x = 1,557,898.65
  5. Step 5: Solve for x
    x = 1,557,898.65/1,616.34
  6. Step 6: Final answer
    x = 963.84

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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.