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Finding the Fourth Proportional to 1,462.69, 2,018.15 and 833.07

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Solution

The fourth proportional to 1,462.69, 2,018.15 and 833.07 is: 1,149.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.69 : 2,018.15 = 833.07 : x
  2. Step 2: Convert to fraction form
    1,462.69/2,018.15 = 833.07/x
  3. Step 3: Cross multiply
    1,462.69x = 2,018.15 × 833.07
  4. Step 4: Simplify right side
    1,462.69x = 1,681,260.22
  5. Step 5: Solve for x
    x = 1,681,260.22/1,462.69
  6. Step 6: Final answer
    x = 1,149.43

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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.