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Finding the Fourth Proportional to 1,585.14, 2,187.37 and 886.38

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Solution

The fourth proportional to 1,585.14, 2,187.37 and 886.38 is: 1,223.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.14 : 2,187.37 = 886.38 : x
  2. Step 2: Convert to fraction form
    1,585.14/2,187.37 = 886.38/x
  3. Step 3: Cross multiply
    1,585.14x = 2,187.37 × 886.38
  4. Step 4: Simplify right side
    1,585.14x = 1,938,841.02
  5. Step 5: Solve for x
    x = 1,938,841.02/1,585.14
  6. Step 6: Final answer
    x = 1,223.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.