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Finding the Fourth Proportional to 1,667.13, 2,300.52 and 921.03

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Solution

The fourth proportional to 1,667.13, 2,300.52 and 921.03 is: 1,270.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.13 : 2,300.52 = 921.03 : x
  2. Step 2: Convert to fraction form
    1,667.13/2,300.52 = 921.03/x
  3. Step 3: Cross multiply
    1,667.13x = 2,300.52 × 921.03
  4. Step 4: Simplify right side
    1,667.13x = 2,118,847.94
  5. Step 5: Solve for x
    x = 2,118,847.94/1,667.13
  6. Step 6: Final answer
    x = 1,270.96

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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.