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Finding the Fourth Proportional to 1,585.50, 2,187.99 and 886.89

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Solution

The fourth proportional to 1,585.50, 2,187.99 and 886.89 is: 1,223.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.50 : 2,187.99 = 886.89 : x
  2. Step 2: Convert to fraction form
    1,585.50/2,187.99 = 886.89/x
  3. Step 3: Cross multiply
    1,585.50x = 2,187.99 × 886.89
  4. Step 4: Simplify right side
    1,585.50x = 1,940,506.45
  5. Step 5: Solve for x
    x = 1,940,506.45/1,585.50
  6. Step 6: Final answer
    x = 1,223.91

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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.