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Finding the Fourth Proportional to 1,682.72, 2,316.48 and 1,387.52

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Solution

The fourth proportional to 1,682.72, 2,316.48 and 1,387.52 is: 1,910.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.72 : 2,316.48 = 1,387.52 : x
  2. Step 2: Convert to fraction form
    1,682.72/2,316.48 = 1,387.52/x
  3. Step 3: Cross multiply
    1,682.72x = 2,316.48 × 1,387.52
  4. Step 4: Simplify right side
    1,682.72x = 3,214,162.33
  5. Step 5: Solve for x
    x = 3,214,162.33/1,682.72
  6. Step 6: Final answer
    x = 1,910.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.