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Finding the Fourth Proportional to 1,602.89, 2,212.99 and 1,229.15

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Solution

The fourth proportional to 1,602.89, 2,212.99 and 1,229.15 is: 1,697.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.89 : 2,212.99 = 1,229.15 : x
  2. Step 2: Convert to fraction form
    1,602.89/2,212.99 = 1,229.15/x
  3. Step 3: Cross multiply
    1,602.89x = 2,212.99 × 1,229.15
  4. Step 4: Simplify right side
    1,602.89x = 2,720,096.66
  5. Step 5: Solve for x
    x = 2,720,096.66/1,602.89
  6. Step 6: Final answer
    x = 1,697.00

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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.