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Finding the Fourth Proportional to 2,100.16, 2,898.18 and 1,191.66

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Solution

The fourth proportional to 2,100.16, 2,898.18 and 1,191.66 is: 1,644.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.16 : 2,898.18 = 1,191.66 : x
  2. Step 2: Convert to fraction form
    2,100.16/2,898.18 = 1,191.66/x
  3. Step 3: Cross multiply
    2,100.16x = 2,898.18 × 1,191.66
  4. Step 4: Simplify right side
    2,100.16x = 3,453,645.18
  5. Step 5: Solve for x
    x = 3,453,645.18/2,100.16
  6. Step 6: Final answer
    x = 1,644.47

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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.