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Finding the Fourth Proportional to 2,866.94, 4,301.24 and 1,201.85

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Solution

The fourth proportional to 2,866.94, 4,301.24 and 1,201.85 is: 1,803.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.94 : 4,301.24 = 1,201.85 : x
  2. Step 2: Convert to fraction form
    2,866.94/4,301.24 = 1,201.85/x
  3. Step 3: Cross multiply
    2,866.94x = 4,301.24 × 1,201.85
  4. Step 4: Simplify right side
    2,866.94x = 5,169,417.78
  5. Step 5: Solve for x
    x = 5,169,417.78/2,866.94
  6. Step 6: Final answer
    x = 1,803.12

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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.