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Finding the Fourth Proportional to 2,069.39, 2,856.20 and 1,323.24

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Solution

The fourth proportional to 2,069.39, 2,856.20 and 1,323.24 is: 1,826.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.39 : 2,856.20 = 1,323.24 : x
  2. Step 2: Convert to fraction form
    2,069.39/2,856.20 = 1,323.24/x
  3. Step 3: Cross multiply
    2,069.39x = 2,856.20 × 1,323.24
  4. Step 4: Simplify right side
    2,069.39x = 3,779,431.47
  5. Step 5: Solve for x
    x = 3,779,431.47/2,069.39
  6. Step 6: Final answer
    x = 1,826.35

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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.