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Finding the Fourth Proportional to 2,713.53, 3,744.65 and 1,471.53

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Solution

The fourth proportional to 2,713.53, 3,744.65 and 1,471.53 is: 2,030.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.53 : 3,744.65 = 1,471.53 : x
  2. Step 2: Convert to fraction form
    2,713.53/3,744.65 = 1,471.53/x
  3. Step 3: Cross multiply
    2,713.53x = 3,744.65 × 1,471.53
  4. Step 4: Simplify right side
    2,713.53x = 5,510,357.46
  5. Step 5: Solve for x
    x = 5,510,357.46/2,713.53
  6. Step 6: Final answer
    x = 2,030.70

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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.