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Finding the Fourth Proportional to 2,500.84, 3,753.54 and 1,578.04

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Solution

The fourth proportional to 2,500.84, 3,753.54 and 1,578.04 is: 2,368.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500.84 : 3,753.54 = 1,578.04 : x
  2. Step 2: Convert to fraction form
    2,500.84/3,753.54 = 1,578.04/x
  3. Step 3: Cross multiply
    2,500.84x = 3,753.54 × 1,578.04
  4. Step 4: Simplify right side
    2,500.84x = 5,923,236.26
  5. Step 5: Solve for x
    x = 5,923,236.26/2,500.84
  6. Step 6: Final answer
    x = 2,368.50

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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.