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Finding the Fourth Proportional to 2,774.52, 4,161.60 and 1,678.59

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Solution

The fourth proportional to 2,774.52, 4,161.60 and 1,678.59 is: 2,517.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.52 : 4,161.60 = 1,678.59 : x
  2. Step 2: Convert to fraction form
    2,774.52/4,161.60 = 1,678.59/x
  3. Step 3: Cross multiply
    2,774.52x = 4,161.60 × 1,678.59
  4. Step 4: Simplify right side
    2,774.52x = 6,985,599.34
  5. Step 5: Solve for x
    x = 6,985,599.34/2,774.52
  6. Step 6: Final answer
    x = 2,517.77

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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.