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Finding the Fourth Proportional to 2,769.93, 4,154.85 and 1,310.13

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Solution

The fourth proportional to 2,769.93, 4,154.85 and 1,310.13 is: 1,965.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.93 : 4,154.85 = 1,310.13 : x
  2. Step 2: Convert to fraction form
    2,769.93/4,154.85 = 1,310.13/x
  3. Step 3: Cross multiply
    2,769.93x = 4,154.85 × 1,310.13
  4. Step 4: Simplify right side
    2,769.93x = 5,443,393.63
  5. Step 5: Solve for x
    x = 5,443,393.63/2,769.93
  6. Step 6: Final answer
    x = 1,965.17

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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.