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Finding the Fourth Proportional to 1,586, 2,188.56 and 877.84

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Solution

The fourth proportional to 1,586, 2,188.56 and 877.84 is: 1,211.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586 : 2,188.56 = 877.84 : x
  2. Step 2: Convert to fraction form
    1,586/2,188.56 = 877.84/x
  3. Step 3: Cross multiply
    1,586x = 2,188.56 × 877.84
  4. Step 4: Simplify right side
    1,586x = 1,921,205.51
  5. Step 5: Solve for x
    x = 1,921,205.51/1,586
  6. Step 6: Final answer
    x = 1,211.35

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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.