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Finding the Fourth Proportional to 2,758.08, 4,137.06 and 1,524.78

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Solution

The fourth proportional to 2,758.08, 4,137.06 and 1,524.78 is: 2,287.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.08 : 4,137.06 = 1,524.78 : x
  2. Step 2: Convert to fraction form
    2,758.08/4,137.06 = 1,524.78/x
  3. Step 3: Cross multiply
    2,758.08x = 4,137.06 × 1,524.78
  4. Step 4: Simplify right side
    2,758.08x = 6,308,106.35
  5. Step 5: Solve for x
    x = 6,308,106.35/2,758.08
  6. Step 6: Final answer
    x = 2,287.14

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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.