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Finding the Fourth Proportional to 1,360.05, 1,876.19 and 861.86

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Solution

The fourth proportional to 1,360.05, 1,876.19 and 861.86 is: 1,188.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.05 : 1,876.19 = 861.86 : x
  2. Step 2: Convert to fraction form
    1,360.05/1,876.19 = 861.86/x
  3. Step 3: Cross multiply
    1,360.05x = 1,876.19 × 861.86
  4. Step 4: Simplify right side
    1,360.05x = 1,616,999.42
  5. Step 5: Solve for x
    x = 1,616,999.42/1,360.05
  6. Step 6: Final answer
    x = 1,188.93

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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.