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Finding the Fourth Proportional to 2,159.73, 2,978.82 and 1,861.52

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Solution

The fourth proportional to 2,159.73, 2,978.82 and 1,861.52 is: 2,567.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.73 : 2,978.82 = 1,861.52 : x
  2. Step 2: Convert to fraction form
    2,159.73/2,978.82 = 1,861.52/x
  3. Step 3: Cross multiply
    2,159.73x = 2,978.82 × 1,861.52
  4. Step 4: Simplify right side
    2,159.73x = 5,545,118.11
  5. Step 5: Solve for x
    x = 5,545,118.11/2,159.73
  6. Step 6: Final answer
    x = 2,567.51

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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.