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Finding the Fourth Proportional to 2,109.14, 2,910.02 and 1,363.14

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Solution

The fourth proportional to 2,109.14, 2,910.02 and 1,363.14 is: 1,880.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.14 : 2,910.02 = 1,363.14 : x
  2. Step 2: Convert to fraction form
    2,109.14/2,910.02 = 1,363.14/x
  3. Step 3: Cross multiply
    2,109.14x = 2,910.02 × 1,363.14
  4. Step 4: Simplify right side
    2,109.14x = 3,966,764.66
  5. Step 5: Solve for x
    x = 3,966,764.66/2,109.14
  6. Step 6: Final answer
    x = 1,880.75

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1.5x scale

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.