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Finding the Fourth Proportional to 2,032.86, 3,049.70 and 572.07

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Solution

The fourth proportional to 2,032.86, 3,049.70 and 572.07 is: 858.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.86 : 3,049.70 = 572.07 : x
  2. Step 2: Convert to fraction form
    2,032.86/3,049.70 = 572.07/x
  3. Step 3: Cross multiply
    2,032.86x = 3,049.70 × 572.07
  4. Step 4: Simplify right side
    2,032.86x = 1,744,639.02
  5. Step 5: Solve for x
    x = 1,744,639.02/2,032.86
  6. Step 6: Final answer
    x = 858.22

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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.