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Finding the Fourth Proportional to 2,891.99, 4,339.88 and 1,160.75

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Solution

The fourth proportional to 2,891.99, 4,339.88 and 1,160.75 is: 1,741.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.99 : 4,339.88 = 1,160.75 : x
  2. Step 2: Convert to fraction form
    2,891.99/4,339.88 = 1,160.75/x
  3. Step 3: Cross multiply
    2,891.99x = 4,339.88 × 1,160.75
  4. Step 4: Simplify right side
    2,891.99x = 5,037,515.71
  5. Step 5: Solve for x
    x = 5,037,515.71/2,891.99
  6. Step 6: Final answer
    x = 1,741.89

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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.