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Finding the Fourth Proportional to 2,701.92, 3,728.66 and 1,654.59

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Solution

The fourth proportional to 2,701.92, 3,728.66 and 1,654.59 is: 2,283.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.92 : 3,728.66 = 1,654.59 : x
  2. Step 2: Convert to fraction form
    2,701.92/3,728.66 = 1,654.59/x
  3. Step 3: Cross multiply
    2,701.92x = 3,728.66 × 1,654.59
  4. Step 4: Simplify right side
    2,701.92x = 6,169,395.28
  5. Step 5: Solve for x
    x = 6,169,395.28/2,701.92
  6. Step 6: Final answer
    x = 2,283.34

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1.5x scale

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.