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Finding the Fourth Proportional to 2,329.76, 3,491.76 and 1,175.84

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Solution

The fourth proportional to 2,329.76, 3,491.76 and 1,175.84 is: 1,762.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.76 : 3,491.76 = 1,175.84 : x
  2. Step 2: Convert to fraction form
    2,329.76/3,491.76 = 1,175.84/x
  3. Step 3: Cross multiply
    2,329.76x = 3,491.76 × 1,175.84
  4. Step 4: Simplify right side
    2,329.76x = 4,105,751.08
  5. Step 5: Solve for x
    x = 4,105,751.08/2,329.76
  6. Step 6: Final answer
    x = 1,762.31

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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.