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Finding the Fourth Proportional to 2,292, 3,159.72 and 1,630.38

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Solution

The fourth proportional to 2,292, 3,159.72 and 1,630.38 is: 2,247.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292 : 3,159.72 = 1,630.38 : x
  2. Step 2: Convert to fraction form
    2,292/3,159.72 = 1,630.38/x
  3. Step 3: Cross multiply
    2,292x = 3,159.72 × 1,630.38
  4. Step 4: Simplify right side
    2,292x = 5,151,544.29
  5. Step 5: Solve for x
    x = 5,151,544.29/2,292
  6. Step 6: Final answer
    x = 2,247.62

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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.