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Finding the Fourth Proportional to 2,053.68, 2,834.18 and 1,169.67

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Solution

The fourth proportional to 2,053.68, 2,834.18 and 1,169.67 is: 1,614.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.68 : 2,834.18 = 1,169.67 : x
  2. Step 2: Convert to fraction form
    2,053.68/2,834.18 = 1,169.67/x
  3. Step 3: Cross multiply
    2,053.68x = 2,834.18 × 1,169.67
  4. Step 4: Simplify right side
    2,053.68x = 3,315,055.32
  5. Step 5: Solve for x
    x = 3,315,055.32/2,053.68
  6. Step 6: Final answer
    x = 1,614.20

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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.