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Finding the Fourth Proportional to 1,667.61, 2,301.98 and 1,005.03

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Solution

The fourth proportional to 1,667.61, 2,301.98 and 1,005.03 is: 1,387.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.61 : 2,301.98 = 1,005.03 : x
  2. Step 2: Convert to fraction form
    1,667.61/2,301.98 = 1,005.03/x
  3. Step 3: Cross multiply
    1,667.61x = 2,301.98 × 1,005.03
  4. Step 4: Simplify right side
    1,667.61x = 2,313,558.96
  5. Step 5: Solve for x
    x = 2,313,558.96/1,667.61
  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.