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Finding the Fourth Proportional to 2,029.21, 3,044.01 and 642.89

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Solution

The fourth proportional to 2,029.21, 3,044.01 and 642.89 is: 964.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.21 : 3,044.01 = 642.89 : x
  2. Step 2: Convert to fraction form
    2,029.21/3,044.01 = 642.89/x
  3. Step 3: Cross multiply
    2,029.21x = 3,044.01 × 642.89
  4. Step 4: Simplify right side
    2,029.21x = 1,956,963.59
  5. Step 5: Solve for x
    x = 1,956,963.59/2,029.21
  6. Step 6: Final answer
    x = 964.40

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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.