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Finding the Fourth Proportional to 2,328.29, 3,491.70 and 767.95

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Solution

The fourth proportional to 2,328.29, 3,491.70 and 767.95 is: 1,151.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.29 : 3,491.70 = 767.95 : x
  2. Step 2: Convert to fraction form
    2,328.29/3,491.70 = 767.95/x
  3. Step 3: Cross multiply
    2,328.29x = 3,491.70 × 767.95
  4. Step 4: Simplify right side
    2,328.29x = 2,681,443.73
  5. Step 5: Solve for x
    x = 2,681,443.73/2,328.29
  6. Step 6: Final answer
    x = 1,151.68

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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.