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Finding the Fourth Proportional to 1,872.82, 2,809.12 and 556.52

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Solution

The fourth proportional to 1,872.82, 2,809.12 and 556.52 is: 834.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.82 : 2,809.12 = 556.52 : x
  2. Step 2: Convert to fraction form
    1,872.82/2,809.12 = 556.52/x
  3. Step 3: Cross multiply
    1,872.82x = 2,809.12 × 556.52
  4. Step 4: Simplify right side
    1,872.82x = 1,563,331.46
  5. Step 5: Solve for x
    x = 1,563,331.46/1,872.82
  6. Step 6: Final answer
    x = 834.75

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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.