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Finding the Fourth Proportional to 2,527.70, 3,488.25 and 1,408.61

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Solution

The fourth proportional to 2,527.70, 3,488.25 and 1,408.61 is: 1,943.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.70 : 3,488.25 = 1,408.61 : x
  2. Step 2: Convert to fraction form
    2,527.70/3,488.25 = 1,408.61/x
  3. Step 3: Cross multiply
    2,527.70x = 3,488.25 × 1,408.61
  4. Step 4: Simplify right side
    2,527.70x = 4,913,566.39
  5. Step 5: Solve for x
    x = 4,913,566.39/2,527.70
  6. Step 6: Final answer
    x = 1,943.89

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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.