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Finding the Fourth Proportional to 2,077.59, 2,867.02 and 1,146.09

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Solution

The fourth proportional to 2,077.59, 2,867.02 and 1,146.09 is: 1,581.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.59 : 2,867.02 = 1,146.09 : x
  2. Step 2: Convert to fraction form
    2,077.59/2,867.02 = 1,146.09/x
  3. Step 3: Cross multiply
    2,077.59x = 2,867.02 × 1,146.09
  4. Step 4: Simplify right side
    2,077.59x = 3,285,862.95
  5. Step 5: Solve for x
    x = 3,285,862.95/2,077.59
  6. Step 6: Final answer
    x = 1,581.57

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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.