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Finding the Fourth Proportional to 1,667.40, 2,310.74 and 1,643.91

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Solution

The fourth proportional to 1,667.40, 2,310.74 and 1,643.91 is: 2,278.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.40 : 2,310.74 = 1,643.91 : x
  2. Step 2: Convert to fraction form
    1,667.40/2,310.74 = 1,643.91/x
  3. Step 3: Cross multiply
    1,667.40x = 2,310.74 × 1,643.91
  4. Step 4: Simplify right side
    1,667.40x = 3,798,648.59
  5. Step 5: Solve for x
    x = 3,798,648.59/1,667.40
  6. Step 6: Final answer
    x = 2,278.19

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.