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Finding the Fourth Proportional to 2,826, 3,898.35 and 1,707.39

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Solution

The fourth proportional to 2,826, 3,898.35 and 1,707.39 is: 2,355.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826 : 3,898.35 = 1,707.39 : x
  2. Step 2: Convert to fraction form
    2,826/3,898.35 = 1,707.39/x
  3. Step 3: Cross multiply
    2,826x = 3,898.35 × 1,707.39
  4. Step 4: Simplify right side
    2,826x = 6,656,003.81
  5. Step 5: Solve for x
    x = 6,656,003.81/2,826
  6. Step 6: Final answer
    x = 2,355.27

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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.