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Finding the Fourth Proportional to 2,054.55, 2,834.10 and 1,170.19

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Solution

The fourth proportional to 2,054.55, 2,834.10 and 1,170.19 is: 1,614.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.55 : 2,834.10 = 1,170.19 : x
  2. Step 2: Convert to fraction form
    2,054.55/2,834.10 = 1,170.19/x
  3. Step 3: Cross multiply
    2,054.55x = 2,834.10 × 1,170.19
  4. Step 4: Simplify right side
    2,054.55x = 3,316,428.39
  5. Step 5: Solve for x
    x = 3,316,428.39/2,054.55
  6. Step 6: Final answer
    x = 1,614.19

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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.