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Finding the Fourth Proportional to 2,248.32, 3,102 and 1,363.92

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Solution

The fourth proportional to 2,248.32, 3,102 and 1,363.92 is: 1,881.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,248.32 : 3,102 = 1,363.92 : x
  2. Step 2: Convert to fraction form
    2,248.32/3,102 = 1,363.92/x
  3. Step 3: Cross multiply
    2,248.32x = 3,102 × 1,363.92
  4. Step 4: Simplify right side
    2,248.32x = 4,230,879.84
  5. Step 5: Solve for x
    x = 4,230,879.84/2,248.32
  6. Step 6: Final answer
    x = 1,881.80

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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.