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Finding the Fourth Proportional to 4,522.65, 6,782.57 and 1,600.28

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Solution

The fourth proportional to 4,522.65, 6,782.57 and 1,600.28 is: 2,399.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,522.65 : 6,782.57 = 1,600.28 : x
  2. Step 2: Convert to fraction form
    4,522.65/6,782.57 = 1,600.28/x
  3. Step 3: Cross multiply
    4,522.65x = 6,782.57 × 1,600.28
  4. Step 4: Simplify right side
    4,522.65x = 10,854,011.12
  5. Step 5: Solve for x
    x = 10,854,011.12/4,522.65
  6. Step 6: Final answer
    x = 2,399.92

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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.