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Finding the Fourth Proportional to 2,159.94, 3,237.22 and 925.92

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Solution

The fourth proportional to 2,159.94, 3,237.22 and 925.92 is: 1,387.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.94 : 3,237.22 = 925.92 : x
  2. Step 2: Convert to fraction form
    2,159.94/3,237.22 = 925.92/x
  3. Step 3: Cross multiply
    2,159.94x = 3,237.22 × 925.92
  4. Step 4: Simplify right side
    2,159.94x = 2,997,398.14
  5. Step 5: Solve for x
    x = 2,997,398.14/2,159.94
  6. Step 6: Final answer
    x = 1,387.72

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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.