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Finding the Fourth Proportional to 1,873.67, 2,585.31 and 1,165.72

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Solution

The fourth proportional to 1,873.67, 2,585.31 and 1,165.72 is: 1,608.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.67 : 2,585.31 = 1,165.72 : x
  2. Step 2: Convert to fraction form
    1,873.67/2,585.31 = 1,165.72/x
  3. Step 3: Cross multiply
    1,873.67x = 2,585.31 × 1,165.72
  4. Step 4: Simplify right side
    1,873.67x = 3,013,747.57
  5. Step 5: Solve for x
    x = 3,013,747.57/1,873.67
  6. Step 6: Final answer
    x = 1,608.47

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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.