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Finding the Fourth Proportional to 2,054.13, 2,834.37 and 1,169.95

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Solution

The fourth proportional to 2,054.13, 2,834.37 and 1,169.95 is: 1,614.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.13 : 2,834.37 = 1,169.95 : x
  2. Step 2: Convert to fraction form
    2,054.13/2,834.37 = 1,169.95/x
  3. Step 3: Cross multiply
    2,054.13x = 2,834.37 × 1,169.95
  4. Step 4: Simplify right side
    2,054.13x = 3,316,071.18
  5. Step 5: Solve for x
    x = 3,316,071.18/2,054.13
  6. Step 6: Final answer
    x = 1,614.34

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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.