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Finding the Fourth Proportional to 3,277.49, 4,916.24 and 1,987.16

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Solution

The fourth proportional to 3,277.49, 4,916.24 and 1,987.16 is: 2,980.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.49 : 4,916.24 = 1,987.16 : x
  2. Step 2: Convert to fraction form
    3,277.49/4,916.24 = 1,987.16/x
  3. Step 3: Cross multiply
    3,277.49x = 4,916.24 × 1,987.16
  4. Step 4: Simplify right side
    3,277.49x = 9,769,320.96
  5. Step 5: Solve for x
    x = 9,769,320.96/3,277.49
  6. Step 6: Final answer
    x = 2,980.74

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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.