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Finding the Fourth Proportional to 2,552.41, 3,827.80 and 992.31

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Solution

The fourth proportional to 2,552.41, 3,827.80 and 992.31 is: 1,488.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.41 : 3,827.80 = 992.31 : x
  2. Step 2: Convert to fraction form
    2,552.41/3,827.80 = 992.31/x
  3. Step 3: Cross multiply
    2,552.41x = 3,827.80 × 992.31
  4. Step 4: Simplify right side
    2,552.41x = 3,798,364.22
  5. Step 5: Solve for x
    x = 3,798,364.22/2,552.41
  6. Step 6: Final answer
    x = 1,488.15

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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.