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Finding the Fourth Proportional to 2,758.59, 3,806.82 and 1,499.65

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Solution

The fourth proportional to 2,758.59, 3,806.82 and 1,499.65 is: 2,069.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.59 : 3,806.82 = 1,499.65 : x
  2. Step 2: Convert to fraction form
    2,758.59/3,806.82 = 1,499.65/x
  3. Step 3: Cross multiply
    2,758.59x = 3,806.82 × 1,499.65
  4. Step 4: Simplify right side
    2,758.59x = 5,708,888.10
  5. Step 5: Solve for x
    x = 5,708,888.10/2,758.59
  6. Step 6: Final answer
    x = 2,069.49

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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.