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Finding the Fourth Proportional to 1,218.71, 1,823.97 and 1,013.69

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Solution

The fourth proportional to 1,218.71, 1,823.97 and 1,013.69 is: 1,517.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.71 : 1,823.97 = 1,013.69 : x
  2. Step 2: Convert to fraction form
    1,218.71/1,823.97 = 1,013.69/x
  3. Step 3: Cross multiply
    1,218.71x = 1,823.97 × 1,013.69
  4. Step 4: Simplify right side
    1,218.71x = 1,848,948.51
  5. Step 5: Solve for x
    x = 1,848,948.51/1,218.71
  6. Step 6: Final answer
    x = 1,517.13

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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.