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Finding the Fourth Proportional to 1,665.71, 2,496.39 and 1,433

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Solution

The fourth proportional to 1,665.71, 2,496.39 and 1,433 is: 2,147.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.71 : 2,496.39 = 1,433 : x
  2. Step 2: Convert to fraction form
    1,665.71/2,496.39 = 1,433/x
  3. Step 3: Cross multiply
    1,665.71x = 2,496.39 × 1,433
  4. Step 4: Simplify right side
    1,665.71x = 3,577,326.87
  5. Step 5: Solve for x
    x = 3,577,326.87/1,665.71
  6. Step 6: Final answer
    x = 2,147.63

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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.