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Finding the Fourth Proportional to 2,053.23, 3,079.94 and 572.55

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Solution

The fourth proportional to 2,053.23, 3,079.94 and 572.55 is: 858.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.23 : 3,079.94 = 572.55 : x
  2. Step 2: Convert to fraction form
    2,053.23/3,079.94 = 572.55/x
  3. Step 3: Cross multiply
    2,053.23x = 3,079.94 × 572.55
  4. Step 4: Simplify right side
    2,053.23x = 1,763,416.78
  5. Step 5: Solve for x
    x = 1,763,416.78/2,053.23
  6. Step 6: Final answer
    x = 858.85

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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.