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Finding the Fourth Proportional to 2,527.52, 3,488.26 and 1,408.56

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Solution

The fourth proportional to 2,527.52, 3,488.26 and 1,408.56 is: 1,943.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.52 : 3,488.26 = 1,408.56 : x
  2. Step 2: Convert to fraction form
    2,527.52/3,488.26 = 1,408.56/x
  3. Step 3: Cross multiply
    2,527.52x = 3,488.26 × 1,408.56
  4. Step 4: Simplify right side
    2,527.52x = 4,913,423.51
  5. Step 5: Solve for x
    x = 4,913,423.51/2,527.52
  6. Step 6: Final answer
    x = 1,943.97

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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.