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Finding the Fourth Proportional to 1,667.82, 2,498.50 and 935.18

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Solution

The fourth proportional to 1,667.82, 2,498.50 and 935.18 is: 1,400.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.82 : 2,498.50 = 935.18 : x
  2. Step 2: Convert to fraction form
    1,667.82/2,498.50 = 935.18/x
  3. Step 3: Cross multiply
    1,667.82x = 2,498.50 × 935.18
  4. Step 4: Simplify right side
    1,667.82x = 2,336,547.23
  5. Step 5: Solve for x
    x = 2,336,547.23/1,667.82
  6. Step 6: Final answer
    x = 1,400.96

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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.