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Finding the Fourth Proportional to 2,527.41, 3,487.73 and 1,408.32

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Solution

The fourth proportional to 2,527.41, 3,487.73 and 1,408.32 is: 1,943.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.41 : 3,487.73 = 1,408.32 : x
  2. Step 2: Convert to fraction form
    2,527.41/3,487.73 = 1,408.32/x
  3. Step 3: Cross multiply
    2,527.41x = 3,487.73 × 1,408.32
  4. Step 4: Simplify right side
    2,527.41x = 4,911,839.91
  5. Step 5: Solve for x
    x = 4,911,839.91/2,527.41
  6. Step 6: Final answer
    x = 1,943.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.