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Finding the Fourth Proportional to 1,616.52, 2,230.86 and 917.92

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Solution

The fourth proportional to 1,616.52, 2,230.86 and 917.92 is: 1,266.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.52 : 2,230.86 = 917.92 : x
  2. Step 2: Convert to fraction form
    1,616.52/2,230.86 = 917.92/x
  3. Step 3: Cross multiply
    1,616.52x = 2,230.86 × 917.92
  4. Step 4: Simplify right side
    1,616.52x = 2,047,751.01
  5. Step 5: Solve for x
    x = 2,047,751.01/1,616.52
  6. Step 6: Final answer
    x = 1,266.77

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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.