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Finding the Fourth Proportional to 2,238.61, 3,088.95 and 1,243.90

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Solution

The fourth proportional to 2,238.61, 3,088.95 and 1,243.90 is: 1,716.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.61 : 3,088.95 = 1,243.90 : x
  2. Step 2: Convert to fraction form
    2,238.61/3,088.95 = 1,243.90/x
  3. Step 3: Cross multiply
    2,238.61x = 3,088.95 × 1,243.90
  4. Step 4: Simplify right side
    2,238.61x = 3,842,344.91
  5. Step 5: Solve for x
    x = 3,842,344.91/2,238.61
  6. Step 6: Final answer
    x = 1,716.40

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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.