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Finding the Fourth Proportional to 2,109.14, 2,910.03 and 1,363.13

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Solution

The fourth proportional to 2,109.14, 2,910.03 and 1,363.13 is: 1,880.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.14 : 2,910.03 = 1,363.13 : x
  2. Step 2: Convert to fraction form
    2,109.14/2,910.03 = 1,363.13/x
  3. Step 3: Cross multiply
    2,109.14x = 2,910.03 × 1,363.13
  4. Step 4: Simplify right side
    2,109.14x = 3,966,749.19
  5. Step 5: Solve for x
    x = 3,966,749.19/2,109.14
  6. Step 6: Final answer
    x = 1,880.74

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