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Finding the Fourth Proportional to 1,667.10, 2,300.50 and 921.03

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Solution

The fourth proportional to 1,667.10, 2,300.50 and 921.03 is: 1,270.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.10 : 2,300.50 = 921.03 : x
  2. Step 2: Convert to fraction form
    1,667.10/2,300.50 = 921.03/x
  3. Step 3: Cross multiply
    1,667.10x = 2,300.50 × 921.03
  4. Step 4: Simplify right side
    1,667.10x = 2,118,829.52
  5. Step 5: Solve for x
    x = 2,118,829.52/1,667.10
  6. Step 6: Final answer
    x = 1,270.97

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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.