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Finding the Fourth Proportional to 2,921.81, 4,031.98 and 1,662.69

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Solution

The fourth proportional to 2,921.81, 4,031.98 and 1,662.69 is: 2,294.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,921.81 : 4,031.98 = 1,662.69 : x
  2. Step 2: Convert to fraction form
    2,921.81/4,031.98 = 1,662.69/x
  3. Step 3: Cross multiply
    2,921.81x = 4,031.98 × 1,662.69
  4. Step 4: Simplify right side
    2,921.81x = 6,703,943.79
  5. Step 5: Solve for x
    x = 6,703,943.79/2,921.81
  6. Step 6: Final answer
    x = 2,294.45

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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.