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Finding the Fourth Proportional to 2,008.32, 3,017.10 and 1,424.77

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Solution

The fourth proportional to 2,008.32, 3,017.10 and 1,424.77 is: 2,140.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.32 : 3,017.10 = 1,424.77 : x
  2. Step 2: Convert to fraction form
    2,008.32/3,017.10 = 1,424.77/x
  3. Step 3: Cross multiply
    2,008.32x = 3,017.10 × 1,424.77
  4. Step 4: Simplify right side
    2,008.32x = 4,298,673.57
  5. Step 5: Solve for x
    x = 4,298,673.57/2,008.32
  6. Step 6: Final answer
    x = 2,140.43

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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.