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Finding the Fourth Proportional to 1,586.31, 2,189.07 and 887.82

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Solution

The fourth proportional to 1,586.31, 2,189.07 and 887.82 is: 1,225.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.31 : 2,189.07 = 887.82 : x
  2. Step 2: Convert to fraction form
    1,586.31/2,189.07 = 887.82/x
  3. Step 3: Cross multiply
    1,586.31x = 2,189.07 × 887.82
  4. Step 4: Simplify right side
    1,586.31x = 1,943,500.13
  5. Step 5: Solve for x
    x = 1,943,500.13/1,586.31
  6. Step 6: Final answer
    x = 1,225.17

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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.