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Finding the Fourth Proportional to 2,578.50, 3,868.52 and 1,483.65

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Solution

The fourth proportional to 2,578.50, 3,868.52 and 1,483.65 is: 2,225.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.50 : 3,868.52 = 1,483.65 : x
  2. Step 2: Convert to fraction form
    2,578.50/3,868.52 = 1,483.65/x
  3. Step 3: Cross multiply
    2,578.50x = 3,868.52 × 1,483.65
  4. Step 4: Simplify right side
    2,578.50x = 5,739,522.28
  5. Step 5: Solve for x
    x = 5,739,522.28/2,578.50
  6. Step 6: Final answer
    x = 2,225.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.