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Finding the Fourth Proportional to 2,692, 3,715.12 and 1,794.18

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Solution

The fourth proportional to 2,692, 3,715.12 and 1,794.18 is: 2,476.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692 : 3,715.12 = 1,794.18 : x
  2. Step 2: Convert to fraction form
    2,692/3,715.12 = 1,794.18/x
  3. Step 3: Cross multiply
    2,692x = 3,715.12 × 1,794.18
  4. Step 4: Simplify right side
    2,692x = 6,665,594.00
  5. Step 5: Solve for x
    x = 6,665,594.00/2,692
  6. Step 6: Final answer
    x = 2,476.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.