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Finding the Fourth Proportional to 2,368.73, 3,264.77 and 1,778.24

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Solution

The fourth proportional to 2,368.73, 3,264.77 and 1,778.24 is: 2,450.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.73 : 3,264.77 = 1,778.24 : x
  2. Step 2: Convert to fraction form
    2,368.73/3,264.77 = 1,778.24/x
  3. Step 3: Cross multiply
    2,368.73x = 3,264.77 × 1,778.24
  4. Step 4: Simplify right side
    2,368.73x = 5,805,535.71
  5. Step 5: Solve for x
    x = 5,805,535.71/2,368.73
  6. Step 6: Final answer
    x = 2,450.91

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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.