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Finding the Fourth Proportional to 2,329.47, 3,494.37 and 769.41

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Solution

The fourth proportional to 2,329.47, 3,494.37 and 769.41 is: 1,154.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.47 : 3,494.37 = 769.41 : x
  2. Step 2: Convert to fraction form
    2,329.47/3,494.37 = 769.41/x
  3. Step 3: Cross multiply
    2,329.47x = 3,494.37 × 769.41
  4. Step 4: Simplify right side
    2,329.47x = 2,688,603.22
  5. Step 5: Solve for x
    x = 2,688,603.22/2,329.47
  6. Step 6: Final answer
    x = 1,154.17

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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.