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Finding the Fourth Proportional to 2,838.80, 4,256.90 and 1,522.35

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Solution

The fourth proportional to 2,838.80, 4,256.90 and 1,522.35 is: 2,282.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.80 : 4,256.90 = 1,522.35 : x
  2. Step 2: Convert to fraction form
    2,838.80/4,256.90 = 1,522.35/x
  3. Step 3: Cross multiply
    2,838.80x = 4,256.90 × 1,522.35
  4. Step 4: Simplify right side
    2,838.80x = 6,480,491.72
  5. Step 5: Solve for x
    x = 6,480,491.72/2,838.80
  6. Step 6: Final answer
    x = 2,282.83

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