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Finding the Fourth Proportional to 2,088.61, 3,134.41 and 1,542.26

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Solution

The fourth proportional to 2,088.61, 3,134.41 and 1,542.26 is: 2,314.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.61 : 3,134.41 = 1,542.26 : x
  2. Step 2: Convert to fraction form
    2,088.61/3,134.41 = 1,542.26/x
  3. Step 3: Cross multiply
    2,088.61x = 3,134.41 × 1,542.26
  4. Step 4: Simplify right side
    2,088.61x = 4,834,079.15
  5. Step 5: Solve for x
    x = 4,834,079.15/2,088.61
  6. Step 6: Final answer
    x = 2,314.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.