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Finding the Fourth Proportional to 2,054.83, 2,834.97 and 1,170.01

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Solution

The fourth proportional to 2,054.83, 2,834.97 and 1,170.01 is: 1,614.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.83 : 2,834.97 = 1,170.01 : x
  2. Step 2: Convert to fraction form
    2,054.83/2,834.97 = 1,170.01/x
  3. Step 3: Cross multiply
    2,054.83x = 2,834.97 × 1,170.01
  4. Step 4: Simplify right side
    2,054.83x = 3,316,940.55
  5. Step 5: Solve for x
    x = 3,316,940.55/2,054.83
  6. Step 6: Final answer
    x = 1,614.22

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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.