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Finding the Fourth Proportional to 2,527.56, 3,488.03 and 1,408.49

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Solution

The fourth proportional to 2,527.56, 3,488.03 and 1,408.49 is: 1,943.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.56 : 3,488.03 = 1,408.49 : x
  2. Step 2: Convert to fraction form
    2,527.56/3,488.03 = 1,408.49/x
  3. Step 3: Cross multiply
    2,527.56x = 3,488.03 × 1,408.49
  4. Step 4: Simplify right side
    2,527.56x = 4,912,830.89
  5. Step 5: Solve for x
    x = 4,912,830.89/2,527.56
  6. Step 6: Final answer
    x = 1,943.70

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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.