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Finding the Fourth Proportional to 2,074.52, 2,862.87 and 1,143.02

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Solution

The fourth proportional to 2,074.52, 2,862.87 and 1,143.02 is: 1,577.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.52 : 2,862.87 = 1,143.02 : x
  2. Step 2: Convert to fraction form
    2,074.52/2,862.87 = 1,143.02/x
  3. Step 3: Cross multiply
    2,074.52x = 2,862.87 × 1,143.02
  4. Step 4: Simplify right side
    2,074.52x = 3,272,317.67
  5. Step 5: Solve for x
    x = 3,272,317.67/2,074.52
  6. Step 6: Final answer
    x = 1,577.39

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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.