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Finding the Fourth Proportional to 2,101.69, 2,900.34 and 1,170.19

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Solution

The fourth proportional to 2,101.69, 2,900.34 and 1,170.19 is: 1,614.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.69 : 2,900.34 = 1,170.19 : x
  2. Step 2: Convert to fraction form
    2,101.69/2,900.34 = 1,170.19/x
  3. Step 3: Cross multiply
    2,101.69x = 2,900.34 × 1,170.19
  4. Step 4: Simplify right side
    2,101.69x = 3,393,948.86
  5. Step 5: Solve for x
    x = 3,393,948.86/2,101.69
  6. Step 6: Final answer
    x = 1,614.87

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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.