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Finding the Fourth Proportional to 2,287.35, 3,155.07 and 1,446.57

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Solution

The fourth proportional to 2,287.35, 3,155.07 and 1,446.57 is: 1,995.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.35 : 3,155.07 = 1,446.57 : x
  2. Step 2: Convert to fraction form
    2,287.35/3,155.07 = 1,446.57/x
  3. Step 3: Cross multiply
    2,287.35x = 3,155.07 × 1,446.57
  4. Step 4: Simplify right side
    2,287.35x = 4,564,029.61
  5. Step 5: Solve for x
    x = 4,564,029.61/2,287.35
  6. Step 6: Final answer
    x = 1,995.34

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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.