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Finding the Fourth Proportional to 1,616.51, 2,425.13 and 885.71

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Solution

The fourth proportional to 1,616.51, 2,425.13 and 885.71 is: 1,328.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.51 : 2,425.13 = 885.71 : x
  2. Step 2: Convert to fraction form
    1,616.51/2,425.13 = 885.71/x
  3. Step 3: Cross multiply
    1,616.51x = 2,425.13 × 885.71
  4. Step 4: Simplify right side
    1,616.51x = 2,147,957.46
  5. Step 5: Solve for x
    x = 2,147,957.46/1,616.51
  6. Step 6: Final answer
    x = 1,328.76

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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.