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Finding the Fourth Proportional to 2,756.84, 4,128.19 and 1,522.88

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Solution

The fourth proportional to 2,756.84, 4,128.19 and 1,522.88 is: 2,280.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.84 : 4,128.19 = 1,522.88 : x
  2. Step 2: Convert to fraction form
    2,756.84/4,128.19 = 1,522.88/x
  3. Step 3: Cross multiply
    2,756.84x = 4,128.19 × 1,522.88
  4. Step 4: Simplify right side
    2,756.84x = 6,286,737.99
  5. Step 5: Solve for x
    x = 6,286,737.99/2,756.84
  6. Step 6: Final answer
    x = 2,280.41

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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.