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Finding the Fourth Proportional to 1,252.89, 1,879.34 and 1,176.77

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Solution

The fourth proportional to 1,252.89, 1,879.34 and 1,176.77 is: 1,765.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.89 : 1,879.34 = 1,176.77 : x
  2. Step 2: Convert to fraction form
    1,252.89/1,879.34 = 1,176.77/x
  3. Step 3: Cross multiply
    1,252.89x = 1,879.34 × 1,176.77
  4. Step 4: Simplify right side
    1,252.89x = 2,211,549.75
  5. Step 5: Solve for x
    x = 2,211,549.75/1,252.89
  6. Step 6: Final answer
    x = 1,765.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.