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Finding the Fourth Proportional to 1,660.72, 2,470.14 and 1,512.79

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Solution

The fourth proportional to 1,660.72, 2,470.14 and 1,512.79 is: 2,250.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.72 : 2,470.14 = 1,512.79 : x
  2. Step 2: Convert to fraction form
    1,660.72/2,470.14 = 1,512.79/x
  3. Step 3: Cross multiply
    1,660.72x = 2,470.14 × 1,512.79
  4. Step 4: Simplify right side
    1,660.72x = 3,736,783.18
  5. Step 5: Solve for x
    x = 3,736,783.18/1,660.72
  6. Step 6: Final answer
    x = 2,250.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.