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Finding the Fourth Proportional to 1,802.67, 2,488.34 and 1,139.97

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Solution

The fourth proportional to 1,802.67, 2,488.34 and 1,139.97 is: 1,573.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.67 : 2,488.34 = 1,139.97 : x
  2. Step 2: Convert to fraction form
    1,802.67/2,488.34 = 1,139.97/x
  3. Step 3: Cross multiply
    1,802.67x = 2,488.34 × 1,139.97
  4. Step 4: Simplify right side
    1,802.67x = 2,836,627.25
  5. Step 5: Solve for x
    x = 2,836,627.25/1,802.67
  6. Step 6: Final answer
    x = 1,573.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.