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Finding the Fourth Proportional to 1,586.06, 2,188.74 and 877.85

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Solution

The fourth proportional to 1,586.06, 2,188.74 and 877.85 is: 1,211.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.06 : 2,188.74 = 877.85 : x
  2. Step 2: Convert to fraction form
    1,586.06/2,188.74 = 877.85/x
  3. Step 3: Cross multiply
    1,586.06x = 2,188.74 × 877.85
  4. Step 4: Simplify right side
    1,586.06x = 1,921,374.47
  5. Step 5: Solve for x
    x = 1,921,374.47/1,586.06
  6. Step 6: Final answer
    x = 1,211.41

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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.