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Finding the Fourth Proportional to 2,412.10, 3,617.78 and 931.11

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Solution

The fourth proportional to 2,412.10, 3,617.78 and 931.11 is: 1,396.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.10 : 3,617.78 = 931.11 : x
  2. Step 2: Convert to fraction form
    2,412.10/3,617.78 = 931.11/x
  3. Step 3: Cross multiply
    2,412.10x = 3,617.78 × 931.11
  4. Step 4: Simplify right side
    2,412.10x = 3,368,558.50
  5. Step 5: Solve for x
    x = 3,368,558.50/2,412.10
  6. Step 6: Final answer
    x = 1,396.52

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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.