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Finding the Fourth Proportional to 2,363.69, 3,263.01 and 1,578.26

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Solution

The fourth proportional to 2,363.69, 3,263.01 and 1,578.26 is: 2,178.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.69 : 3,263.01 = 1,578.26 : x
  2. Step 2: Convert to fraction form
    2,363.69/3,263.01 = 1,578.26/x
  3. Step 3: Cross multiply
    2,363.69x = 3,263.01 × 1,578.26
  4. Step 4: Simplify right side
    2,363.69x = 5,149,878.16
  5. Step 5: Solve for x
    x = 5,149,878.16/2,363.69
  6. Step 6: Final answer
    x = 2,178.75

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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.