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Finding the Fourth Proportional to 1,667.93, 2,301.99 and 1,005.22

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Solution

The fourth proportional to 1,667.93, 2,301.99 and 1,005.22 is: 1,387.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.93 : 2,301.99 = 1,005.22 : x
  2. Step 2: Convert to fraction form
    1,667.93/2,301.99 = 1,005.22/x
  3. Step 3: Cross multiply
    1,667.93x = 2,301.99 × 1,005.22
  4. Step 4: Simplify right side
    1,667.93x = 2,313,992.55
  5. Step 5: Solve for x
    x = 2,313,992.55/1,667.93
  6. Step 6: Final answer
    x = 1,387.35

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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.