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Finding the Fourth Proportional to 2,257.66, 3,386.08 and 1,024.78

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Solution

The fourth proportional to 2,257.66, 3,386.08 and 1,024.78 is: 1,536.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.66 : 3,386.08 = 1,024.78 : x
  2. Step 2: Convert to fraction form
    2,257.66/3,386.08 = 1,024.78/x
  3. Step 3: Cross multiply
    2,257.66x = 3,386.08 × 1,024.78
  4. Step 4: Simplify right side
    2,257.66x = 3,469,987.06
  5. Step 5: Solve for x
    x = 3,469,987.06/2,257.66
  6. Step 6: Final answer
    x = 1,536.98

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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.