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Finding the Fourth Proportional to 2,288.88, 3,158.90 and 1,294.35

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Solution

The fourth proportional to 2,288.88, 3,158.90 and 1,294.35 is: 1,786.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.88 : 3,158.90 = 1,294.35 : x
  2. Step 2: Convert to fraction form
    2,288.88/3,158.90 = 1,294.35/x
  3. Step 3: Cross multiply
    2,288.88x = 3,158.90 × 1,294.35
  4. Step 4: Simplify right side
    2,288.88x = 4,088,715.74
  5. Step 5: Solve for x
    x = 4,088,715.74/2,288.88
  6. Step 6: Final answer
    x = 1,786.34

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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.