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Finding the Fourth Proportional to 1,872.48, 2,808.68 and 832.20

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Solution

The fourth proportional to 1,872.48, 2,808.68 and 832.20 is: 1,248.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.48 : 2,808.68 = 832.20 : x
  2. Step 2: Convert to fraction form
    1,872.48/2,808.68 = 832.20/x
  3. Step 3: Cross multiply
    1,872.48x = 2,808.68 × 832.20
  4. Step 4: Simplify right side
    1,872.48x = 2,337,385.58
  5. Step 5: Solve for x
    x = 2,337,385.58/1,872.48
  6. Step 6: Final answer
    x = 1,248.28

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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.