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Finding the Fourth Proportional to 2,054.30, 2,834.84 and 1,170.08

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Solution

The fourth proportional to 2,054.30, 2,834.84 and 1,170.08 is: 1,614.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.30 : 2,834.84 = 1,170.08 : x
  2. Step 2: Convert to fraction form
    2,054.30/2,834.84 = 1,170.08/x
  3. Step 3: Cross multiply
    2,054.30x = 2,834.84 × 1,170.08
  4. Step 4: Simplify right side
    2,054.30x = 3,316,989.59
  5. Step 5: Solve for x
    x = 3,316,989.59/2,054.30
  6. Step 6: Final answer
    x = 1,614.66

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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.