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Finding the Fourth Proportional to 2,100.99, 2,899.15 and 1,216.63

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Solution

The fourth proportional to 2,100.99, 2,899.15 and 1,216.63 is: 1,678.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.99 : 2,899.15 = 1,216.63 : x
  2. Step 2: Convert to fraction form
    2,100.99/2,899.15 = 1,216.63/x
  3. Step 3: Cross multiply
    2,100.99x = 2,899.15 × 1,216.63
  4. Step 4: Simplify right side
    2,100.99x = 3,527,182.58
  5. Step 5: Solve for x
    x = 3,527,182.58/2,100.99
  6. Step 6: Final answer
    x = 1,678.82

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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.