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Finding the Fourth Proportional to 2,810.72, 4,210.68 and 2,524.52

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Solution

The fourth proportional to 2,810.72, 4,210.68 and 2,524.52 is: 3,781.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.72 : 4,210.68 = 2,524.52 : x
  2. Step 2: Convert to fraction form
    2,810.72/4,210.68 = 2,524.52/x
  3. Step 3: Cross multiply
    2,810.72x = 4,210.68 × 2,524.52
  4. Step 4: Simplify right side
    2,810.72x = 10,629,945.87
  5. Step 5: Solve for x
    x = 10,629,945.87/2,810.72
  6. Step 6: Final answer
    x = 3,781.93

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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.