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Finding the Fourth Proportional to 2,100.29, 2,898.23 and 1,216.15

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Solution

The fourth proportional to 2,100.29, 2,898.23 and 1,216.15 is: 1,678.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.29 : 2,898.23 = 1,216.15 : x
  2. Step 2: Convert to fraction form
    2,100.29/2,898.23 = 1,216.15/x
  3. Step 3: Cross multiply
    2,100.29x = 2,898.23 × 1,216.15
  4. Step 4: Simplify right side
    2,100.29x = 3,524,672.13
  5. Step 5: Solve for x
    x = 3,524,672.13/2,100.29
  6. Step 6: Final answer
    x = 1,678.19

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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.