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Finding the Fourth Proportional to 2,386.08, 3,578.61 and 742.23

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Solution

The fourth proportional to 2,386.08, 3,578.61 and 742.23 is: 1,113.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.08 : 3,578.61 = 742.23 : x
  2. Step 2: Convert to fraction form
    2,386.08/3,578.61 = 742.23/x
  3. Step 3: Cross multiply
    2,386.08x = 3,578.61 × 742.23
  4. Step 4: Simplify right side
    2,386.08x = 2,656,151.70
  5. Step 5: Solve for x
    x = 2,656,151.70/2,386.08
  6. Step 6: Final answer
    x = 1,113.19

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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.