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Finding the Fourth Proportional to 1,873.86, 2,587.23 and 1,165.99

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Solution

The fourth proportional to 1,873.86, 2,587.23 and 1,165.99 is: 1,609.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.86 : 2,587.23 = 1,165.99 : x
  2. Step 2: Convert to fraction form
    1,873.86/2,587.23 = 1,165.99/x
  3. Step 3: Cross multiply
    1,873.86x = 2,587.23 × 1,165.99
  4. Step 4: Simplify right side
    1,873.86x = 3,016,684.31
  5. Step 5: Solve for x
    x = 3,016,684.31/1,873.86
  6. Step 6: Final answer
    x = 1,609.88

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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.