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Finding the Fourth Proportional to 3,111.04, 4,667.24 and 919.95

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Solution

The fourth proportional to 3,111.04, 4,667.24 and 919.95 is: 1,380.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.04 : 4,667.24 = 919.95 : x
  2. Step 2: Convert to fraction form
    3,111.04/4,667.24 = 919.95/x
  3. Step 3: Cross multiply
    3,111.04x = 4,667.24 × 919.95
  4. Step 4: Simplify right side
    3,111.04x = 4,293,599.50
  5. Step 5: Solve for x
    x = 4,293,599.50/3,111.04
  6. Step 6: Final answer
    x = 1,380.12

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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.