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Finding the Fourth Proportional to 2,834.16, 3,909.06 and 1,655.16

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Solution

The fourth proportional to 2,834.16, 3,909.06 and 1,655.16 is: 2,282.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.16 : 3,909.06 = 1,655.16 : x
  2. Step 2: Convert to fraction form
    2,834.16/3,909.06 = 1,655.16/x
  3. Step 3: Cross multiply
    2,834.16x = 3,909.06 × 1,655.16
  4. Step 4: Simplify right side
    2,834.16x = 6,470,119.75
  5. Step 5: Solve for x
    x = 6,470,119.75/2,834.16
  6. Step 6: Final answer
    x = 2,282.91

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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.