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Finding the Fourth Proportional to 1,827.88, 2,741.78 and 578.56

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Solution

The fourth proportional to 1,827.88, 2,741.78 and 578.56 is: 867.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.88 : 2,741.78 = 578.56 : x
  2. Step 2: Convert to fraction form
    1,827.88/2,741.78 = 578.56/x
  3. Step 3: Cross multiply
    1,827.88x = 2,741.78 × 578.56
  4. Step 4: Simplify right side
    1,827.88x = 1,586,281.34
  5. Step 5: Solve for x
    x = 1,586,281.34/1,827.88
  6. Step 6: Final answer
    x = 867.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.