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Finding the Fourth Proportional to 2,834.01, 3,911.10 and 1,655.01

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Solution

The fourth proportional to 2,834.01, 3,911.10 and 1,655.01 is: 2,284.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.01 : 3,911.10 = 1,655.01 : x
  2. Step 2: Convert to fraction form
    2,834.01/3,911.10 = 1,655.01/x
  3. Step 3: Cross multiply
    2,834.01x = 3,911.10 × 1,655.01
  4. Step 4: Simplify right side
    2,834.01x = 6,472,909.61
  5. Step 5: Solve for x
    x = 6,472,909.61/2,834.01
  6. Step 6: Final answer
    x = 2,284.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.