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Finding the Fourth Proportional to 1,667.50, 2,301.15 and 921.46

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Solution

The fourth proportional to 1,667.50, 2,301.15 and 921.46 is: 1,271.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.50 : 2,301.15 = 921.46 : x
  2. Step 2: Convert to fraction form
    1,667.50/2,301.15 = 921.46/x
  3. Step 3: Cross multiply
    1,667.50x = 2,301.15 × 921.46
  4. Step 4: Simplify right side
    1,667.50x = 2,120,417.68
  5. Step 5: Solve for x
    x = 2,120,417.68/1,667.50
  6. Step 6: Final answer
    x = 1,271.61

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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.