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Finding the Fourth Proportional to 4,438.71, 6,656.81 and 1,663.34

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Solution

The fourth proportional to 4,438.71, 6,656.81 and 1,663.34 is: 2,494.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,438.71 : 6,656.81 = 1,663.34 : x
  2. Step 2: Convert to fraction form
    4,438.71/6,656.81 = 1,663.34/x
  3. Step 3: Cross multiply
    4,438.71x = 6,656.81 × 1,663.34
  4. Step 4: Simplify right side
    4,438.71x = 11,072,496.74
  5. Step 5: Solve for x
    x = 11,072,496.74/4,438.71
  6. Step 6: Final answer
    x = 2,494.53

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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.