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Finding the Fourth Proportional to 2,074.47, 2,866.86 and 1,700.85

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Solution

The fourth proportional to 2,074.47, 2,866.86 and 1,700.85 is: 2,350.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.47 : 2,866.86 = 1,700.85 : x
  2. Step 2: Convert to fraction form
    2,074.47/2,866.86 = 1,700.85/x
  3. Step 3: Cross multiply
    2,074.47x = 2,866.86 × 1,700.85
  4. Step 4: Simplify right side
    2,074.47x = 4,876,098.83
  5. Step 5: Solve for x
    x = 4,876,098.83/2,074.47
  6. Step 6: Final answer
    x = 2,350.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.