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Finding the Fourth Proportional to 2,032.79, 3,049.29 and 572.06

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Solution

The fourth proportional to 2,032.79, 3,049.29 and 572.06 is: 858.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.79 : 3,049.29 = 572.06 : x
  2. Step 2: Convert to fraction form
    2,032.79/3,049.29 = 572.06/x
  3. Step 3: Cross multiply
    2,032.79x = 3,049.29 × 572.06
  4. Step 4: Simplify right side
    2,032.79x = 1,744,361.59
  5. Step 5: Solve for x
    x = 1,744,361.59/2,032.79
  6. Step 6: Final answer
    x = 858.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.