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Finding the Fourth Proportional to 1,667.86, 2,498.61 and 935.22

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Solution

The fourth proportional to 1,667.86, 2,498.61 and 935.22 is: 1,401.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.86 : 2,498.61 = 935.22 : x
  2. Step 2: Convert to fraction form
    1,667.86/2,498.61 = 935.22/x
  3. Step 3: Cross multiply
    1,667.86x = 2,498.61 × 935.22
  4. Step 4: Simplify right side
    1,667.86x = 2,336,750.04
  5. Step 5: Solve for x
    x = 2,336,750.04/1,667.86
  6. Step 6: Final answer
    x = 1,401.05

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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.