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Finding the Fourth Proportional to 2,701.81, 3,728.46 and 1,522.99

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Solution

The fourth proportional to 2,701.81, 3,728.46 and 1,522.99 is: 2,101.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.81 : 3,728.46 = 1,522.99 : x
  2. Step 2: Convert to fraction form
    2,701.81/3,728.46 = 1,522.99/x
  3. Step 3: Cross multiply
    2,701.81x = 3,728.46 × 1,522.99
  4. Step 4: Simplify right side
    2,701.81x = 5,678,407.30
  5. Step 5: Solve for x
    x = 5,678,407.30/2,701.81
  6. Step 6: Final answer
    x = 2,101.70

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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.