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Finding the Fourth Proportional to 1,211.52, 1,827.84 and 1,150.77

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Solution

The fourth proportional to 1,211.52, 1,827.84 and 1,150.77 is: 1,736.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.52 : 1,827.84 = 1,150.77 : x
  2. Step 2: Convert to fraction form
    1,211.52/1,827.84 = 1,150.77/x
  3. Step 3: Cross multiply
    1,211.52x = 1,827.84 × 1,150.77
  4. Step 4: Simplify right side
    1,211.52x = 2,103,423.44
  5. Step 5: Solve for x
    x = 2,103,423.44/1,211.52
  6. Step 6: Final answer
    x = 1,736.19

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.