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Finding the Fourth Proportional to 1,585.75, 2,187.80 and 1,026.92

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Solution

The fourth proportional to 1,585.75, 2,187.80 and 1,026.92 is: 1,416.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.75 : 2,187.80 = 1,026.92 : x
  2. Step 2: Convert to fraction form
    1,585.75/2,187.80 = 1,026.92/x
  3. Step 3: Cross multiply
    1,585.75x = 2,187.80 × 1,026.92
  4. Step 4: Simplify right side
    1,585.75x = 2,246,690.44
  5. Step 5: Solve for x
    x = 2,246,690.44/1,585.75
  6. Step 6: Final answer
    x = 1,416.80

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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.