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Finding the Fourth Proportional to 2,675.34, 4,012.89 and 1,215.66

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Solution

The fourth proportional to 2,675.34, 4,012.89 and 1,215.66 is: 1,823.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.34 : 4,012.89 = 1,215.66 : x
  2. Step 2: Convert to fraction form
    2,675.34/4,012.89 = 1,215.66/x
  3. Step 3: Cross multiply
    2,675.34x = 4,012.89 × 1,215.66
  4. Step 4: Simplify right side
    2,675.34x = 4,878,309.86
  5. Step 5: Solve for x
    x = 4,878,309.86/2,675.34
  6. Step 6: Final answer
    x = 1,823.44

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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.