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Finding the Fourth Proportional to 2,527.71, 3,488.19 and 1,408.65

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Solution

The fourth proportional to 2,527.71, 3,488.19 and 1,408.65 is: 1,943.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.71 : 3,488.19 = 1,408.65 : x
  2. Step 2: Convert to fraction form
    2,527.71/3,488.19 = 1,408.65/x
  3. Step 3: Cross multiply
    2,527.71x = 3,488.19 × 1,408.65
  4. Step 4: Simplify right side
    2,527.71x = 4,913,638.84
  5. Step 5: Solve for x
    x = 4,913,638.84/2,527.71
  6. Step 6: Final answer
    x = 1,943.91

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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.