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Finding the Fourth Proportional to 2,029.18, 3,043.80 and 933.24

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Solution

The fourth proportional to 2,029.18, 3,043.80 and 933.24 is: 1,399.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.18 : 3,043.80 = 933.24 : x
  2. Step 2: Convert to fraction form
    2,029.18/3,043.80 = 933.24/x
  3. Step 3: Cross multiply
    2,029.18x = 3,043.80 × 933.24
  4. Step 4: Simplify right side
    2,029.18x = 2,840,595.91
  5. Step 5: Solve for x
    x = 2,840,595.91/2,029.18
  6. Step 6: Final answer
    x = 1,399.87

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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.