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Finding the Fourth Proportional to 2,029.02, 3,043.34 and 642.40

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Solution

The fourth proportional to 2,029.02, 3,043.34 and 642.40 is: 963.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.02 : 3,043.34 = 642.40 : x
  2. Step 2: Convert to fraction form
    2,029.02/3,043.34 = 642.40/x
  3. Step 3: Cross multiply
    2,029.02x = 3,043.34 × 642.40
  4. Step 4: Simplify right side
    2,029.02x = 1,955,041.62
  5. Step 5: Solve for x
    x = 1,955,041.62/2,029.02
  6. Step 6: Final answer
    x = 963.54

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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.