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Finding the Fourth Proportional to 1,872.10, 2,807.20 and 573.40

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Solution

The fourth proportional to 1,872.10, 2,807.20 and 573.40 is: 859.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.10 : 2,807.20 = 573.40 : x
  2. Step 2: Convert to fraction form
    1,872.10/2,807.20 = 573.40/x
  3. Step 3: Cross multiply
    1,872.10x = 2,807.20 × 573.40
  4. Step 4: Simplify right side
    1,872.10x = 1,609,648.48
  5. Step 5: Solve for x
    x = 1,609,648.48/1,872.10
  6. Step 6: Final answer
    x = 859.81

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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.