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Finding the Fourth Proportional to 2,069.84, 2,856.36 and 1,138.34

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Solution

The fourth proportional to 2,069.84, 2,856.36 and 1,138.34 is: 1,570.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.84 : 2,856.36 = 1,138.34 : x
  2. Step 2: Convert to fraction form
    2,069.84/2,856.36 = 1,138.34/x
  3. Step 3: Cross multiply
    2,069.84x = 2,856.36 × 1,138.34
  4. Step 4: Simplify right side
    2,069.84x = 3,251,508.84
  5. Step 5: Solve for x
    x = 3,251,508.84/2,069.84
  6. Step 6: Final answer
    x = 1,570.90

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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.