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Finding the Fourth Proportional to 1,992.52, 2,987.56 and 895.38

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Solution

The fourth proportional to 1,992.52, 2,987.56 and 895.38 is: 1,342.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.52 : 2,987.56 = 895.38 : x
  2. Step 2: Convert to fraction form
    1,992.52/2,987.56 = 895.38/x
  3. Step 3: Cross multiply
    1,992.52x = 2,987.56 × 895.38
  4. Step 4: Simplify right side
    1,992.52x = 2,675,001.47
  5. Step 5: Solve for x
    x = 2,675,001.47/1,992.52
  6. Step 6: Final answer
    x = 1,342.52

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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.