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Finding the Fourth Proportional to 1,616.14, 2,230.02 and 907.90

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Solution

The fourth proportional to 1,616.14, 2,230.02 and 907.90 is: 1,252.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.14 : 2,230.02 = 907.90 : x
  2. Step 2: Convert to fraction form
    1,616.14/2,230.02 = 907.90/x
  3. Step 3: Cross multiply
    1,616.14x = 2,230.02 × 907.90
  4. Step 4: Simplify right side
    1,616.14x = 2,024,635.16
  5. Step 5: Solve for x
    x = 2,024,635.16/1,616.14
  6. Step 6: Final answer
    x = 1,252.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.