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Finding the Fourth Proportional to 2,019.88, 3,030.32 and 849.24

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Solution

The fourth proportional to 2,019.88, 3,030.32 and 849.24 is: 1,274.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.88 : 3,030.32 = 849.24 : x
  2. Step 2: Convert to fraction form
    2,019.88/3,030.32 = 849.24/x
  3. Step 3: Cross multiply
    2,019.88x = 3,030.32 × 849.24
  4. Step 4: Simplify right side
    2,019.88x = 2,573,468.96
  5. Step 5: Solve for x
    x = 2,573,468.96/2,019.88
  6. Step 6: Final answer
    x = 1,274.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.