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Finding the Fourth Proportional to 2,527.58, 3,488.03 and 1,408.52

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Solution

The fourth proportional to 2,527.58, 3,488.03 and 1,408.52 is: 1,943.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.58 : 3,488.03 = 1,408.52 : x
  2. Step 2: Convert to fraction form
    2,527.58/3,488.03 = 1,408.52/x
  3. Step 3: Cross multiply
    2,527.58x = 3,488.03 × 1,408.52
  4. Step 4: Simplify right side
    2,527.58x = 4,912,960.02
  5. Step 5: Solve for x
    x = 4,912,960.02/2,527.58
  6. Step 6: Final answer
    x = 1,943.74

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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.