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Finding the Fourth Proportional to 2,363.44, 3,262.67 and 1,578.01

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Solution

The fourth proportional to 2,363.44, 3,262.67 and 1,578.01 is: 2,178.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.44 : 3,262.67 = 1,578.01 : x
  2. Step 2: Convert to fraction form
    2,363.44/3,262.67 = 1,578.01/x
  3. Step 3: Cross multiply
    2,363.44x = 3,262.67 × 1,578.01
  4. Step 4: Simplify right side
    2,363.44x = 5,148,525.89
  5. Step 5: Solve for x
    x = 5,148,525.89/2,363.44
  6. Step 6: Final answer
    x = 2,178.40

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Why These Related Problems?

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