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Finding the Fourth Proportional to 2,153.28, 2,972.04 and 1,366.88

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Solution

The fourth proportional to 2,153.28, 2,972.04 and 1,366.88 is: 1,886.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.28 : 2,972.04 = 1,366.88 : x
  2. Step 2: Convert to fraction form
    2,153.28/2,972.04 = 1,366.88/x
  3. Step 3: Cross multiply
    2,153.28x = 2,972.04 × 1,366.88
  4. Step 4: Simplify right side
    2,153.28x = 4,062,409.74
  5. Step 5: Solve for x
    x = 4,062,409.74/2,153.28
  6. Step 6: Final answer
    x = 1,886.61

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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.