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Finding the Fourth Proportional to 2,527.81, 3,488.49 and 1,393.47

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Solution

The fourth proportional to 2,527.81, 3,488.49 and 1,393.47 is: 1,923.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.81 : 3,488.49 = 1,393.47 : x
  2. Step 2: Convert to fraction form
    2,527.81/3,488.49 = 1,393.47/x
  3. Step 3: Cross multiply
    2,527.81x = 3,488.49 × 1,393.47
  4. Step 4: Simplify right side
    2,527.81x = 4,861,117.44
  5. Step 5: Solve for x
    x = 4,861,117.44/2,527.81
  6. Step 6: Final answer
    x = 1,923.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.