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Finding the Fourth Proportional to 1,667.40, 2,291.80 and 1,469.76

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Solution

The fourth proportional to 1,667.40, 2,291.80 and 1,469.76 is: 2,020.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.40 : 2,291.80 = 1,469.76 : x
  2. Step 2: Convert to fraction form
    1,667.40/2,291.80 = 1,469.76/x
  3. Step 3: Cross multiply
    1,667.40x = 2,291.80 × 1,469.76
  4. Step 4: Simplify right side
    1,667.40x = 3,368,395.97
  5. Step 5: Solve for x
    x = 3,368,395.97/1,667.40
  6. Step 6: Final answer
    x = 2,020.15

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.