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Finding the Fourth Proportional to 2,952.41, 4,429.65 and 1,310.12

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Solution

The fourth proportional to 2,952.41, 4,429.65 and 1,310.12 is: 1,965.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.41 : 4,429.65 = 1,310.12 : x
  2. Step 2: Convert to fraction form
    2,952.41/4,429.65 = 1,310.12/x
  3. Step 3: Cross multiply
    2,952.41x = 4,429.65 × 1,310.12
  4. Step 4: Simplify right side
    2,952.41x = 5,803,350.91
  5. Step 5: Solve for x
    x = 5,803,350.91/2,952.41
  6. Step 6: Final answer
    x = 1,965.63

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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.