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Finding the Fourth Proportional to 3,145.04, 4,340.04 and 2,214.80

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Solution

The fourth proportional to 3,145.04, 4,340.04 and 2,214.80 is: 3,056.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.04 : 4,340.04 = 2,214.80 : x
  2. Step 2: Convert to fraction form
    3,145.04/4,340.04 = 2,214.80/x
  3. Step 3: Cross multiply
    3,145.04x = 4,340.04 × 2,214.80
  4. Step 4: Simplify right side
    3,145.04x = 9,612,320.59
  5. Step 5: Solve for x
    x = 9,612,320.59/3,145.04
  6. Step 6: Final answer
    x = 3,056.34

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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.