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Finding the Fourth Proportional to 1,586.05, 2,188.55 and 877.79

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Solution

The fourth proportional to 1,586.05, 2,188.55 and 877.79 is: 1,211.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.05 : 2,188.55 = 877.79 : x
  2. Step 2: Convert to fraction form
    1,586.05/2,188.55 = 877.79/x
  3. Step 3: Cross multiply
    1,586.05x = 2,188.55 × 877.79
  4. Step 4: Simplify right side
    1,586.05x = 1,921,094.97
  5. Step 5: Solve for x
    x = 1,921,094.97/1,586.05
  6. Step 6: Final answer
    x = 1,211.25

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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.