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Finding the Fourth Proportional to 2,810.57, 4,218.44 and 1,424.87

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Solution

The fourth proportional to 2,810.57, 4,218.44 and 1,424.87 is: 2,138.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.57 : 4,218.44 = 1,424.87 : x
  2. Step 2: Convert to fraction form
    2,810.57/4,218.44 = 1,424.87/x
  3. Step 3: Cross multiply
    2,810.57x = 4,218.44 × 1,424.87
  4. Step 4: Simplify right side
    2,810.57x = 6,010,728.60
  5. Step 5: Solve for x
    x = 6,010,728.60/2,810.57
  6. Step 6: Final answer
    x = 2,138.62

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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.