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Finding the Fourth Proportional to 2,283.68, 3,424.20 and 2,010.32

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Solution

The fourth proportional to 2,283.68, 3,424.20 and 2,010.32 is: 3,014.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.68 : 3,424.20 = 2,010.32 : x
  2. Step 2: Convert to fraction form
    2,283.68/3,424.20 = 2,010.32/x
  3. Step 3: Cross multiply
    2,283.68x = 3,424.20 × 2,010.32
  4. Step 4: Simplify right side
    2,283.68x = 6,883,737.74
  5. Step 5: Solve for x
    x = 6,883,737.74/2,283.68
  6. Step 6: Final answer
    x = 3,014.32

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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.