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Finding the Fourth Proportional to 1,827.68, 2,741.78 and 577.85

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Solution

The fourth proportional to 1,827.68, 2,741.78 and 577.85 is: 866.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.68 : 2,741.78 = 577.85 : x
  2. Step 2: Convert to fraction form
    1,827.68/2,741.78 = 577.85/x
  3. Step 3: Cross multiply
    1,827.68x = 2,741.78 × 577.85
  4. Step 4: Simplify right side
    1,827.68x = 1,584,323.86
  5. Step 5: Solve for x
    x = 1,584,323.86/1,827.68
  6. Step 6: Final answer
    x = 866.85

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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.