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Finding the Fourth Proportional to 2,758.46, 3,806.75 and 1,499.51

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Solution

The fourth proportional to 2,758.46, 3,806.75 and 1,499.51 is: 2,069.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.46 : 3,806.75 = 1,499.51 : x
  2. Step 2: Convert to fraction form
    2,758.46/3,806.75 = 1,499.51/x
  3. Step 3: Cross multiply
    2,758.46x = 3,806.75 × 1,499.51
  4. Step 4: Simplify right side
    2,758.46x = 5,708,233.16
  5. Step 5: Solve for x
    x = 5,708,233.16/2,758.46
  6. Step 6: Final answer
    x = 2,069.36

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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.