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Finding the Fourth Proportional to 2,104.70, 2,905.38 and 1,319.19

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Solution

The fourth proportional to 2,104.70, 2,905.38 and 1,319.19 is: 1,821.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.70 : 2,905.38 = 1,319.19 : x
  2. Step 2: Convert to fraction form
    2,104.70/2,905.38 = 1,319.19/x
  3. Step 3: Cross multiply
    2,104.70x = 2,905.38 × 1,319.19
  4. Step 4: Simplify right side
    2,104.70x = 3,832,748.24
  5. Step 5: Solve for x
    x = 3,832,748.24/2,104.70
  6. Step 6: Final answer
    x = 1,821.05

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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.