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Finding the Fourth Proportional to 2,724.10, 4,083.68 and 991.50

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Solution

The fourth proportional to 2,724.10, 4,083.68 and 991.50 is: 1,486.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.10 : 4,083.68 = 991.50 : x
  2. Step 2: Convert to fraction form
    2,724.10/4,083.68 = 991.50/x
  3. Step 3: Cross multiply
    2,724.10x = 4,083.68 × 991.50
  4. Step 4: Simplify right side
    2,724.10x = 4,048,968.72
  5. Step 5: Solve for x
    x = 4,048,968.72/2,724.10
  6. Step 6: Final answer
    x = 1,486.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.