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Finding the Fourth Proportional to 1,872.58, 2,807.70 and 832.54

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Solution

The fourth proportional to 1,872.58, 2,807.70 and 832.54 is: 1,248.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.58 : 2,807.70 = 832.54 : x
  2. Step 2: Convert to fraction form
    1,872.58/2,807.70 = 832.54/x
  3. Step 3: Cross multiply
    1,872.58x = 2,807.70 × 832.54
  4. Step 4: Simplify right side
    1,872.58x = 2,337,522.56
  5. Step 5: Solve for x
    x = 2,337,522.56/1,872.58
  6. Step 6: Final answer
    x = 1,248.29

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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.