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Finding the Fourth Proportional to 2,701.60, 3,728.10 and 1,522.92

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Solution

The fourth proportional to 2,701.60, 3,728.10 and 1,522.92 is: 2,101.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.60 : 3,728.10 = 1,522.92 : x
  2. Step 2: Convert to fraction form
    2,701.60/3,728.10 = 1,522.92/x
  3. Step 3: Cross multiply
    2,701.60x = 3,728.10 × 1,522.92
  4. Step 4: Simplify right side
    2,701.60x = 5,677,579.41
  5. Step 5: Solve for x
    x = 5,677,579.41/2,701.60
  6. Step 6: Final answer
    x = 2,101.56

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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.