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Finding the Fourth Proportional to 2,826, 3,898.98 and 1,707.30

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Solution

The fourth proportional to 2,826, 3,898.98 and 1,707.30 is: 2,355.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826 : 3,898.98 = 1,707.30 : x
  2. Step 2: Convert to fraction form
    2,826/3,898.98 = 1,707.30/x
  3. Step 3: Cross multiply
    2,826x = 3,898.98 × 1,707.30
  4. Step 4: Simplify right side
    2,826x = 6,656,728.55
  5. Step 5: Solve for x
    x = 6,656,728.55/2,826
  6. Step 6: Final answer
    x = 2,355.53

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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.