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Finding the Fourth Proportional to 1,667.84, 2,301.21 and 1,135.77

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Solution

The fourth proportional to 1,667.84, 2,301.21 and 1,135.77 is: 1,567.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.84 : 2,301.21 = 1,135.77 : x
  2. Step 2: Convert to fraction form
    1,667.84/2,301.21 = 1,135.77/x
  3. Step 3: Cross multiply
    1,667.84x = 2,301.21 × 1,135.77
  4. Step 4: Simplify right side
    1,667.84x = 2,613,645.28
  5. Step 5: Solve for x
    x = 2,613,645.28/1,667.84
  6. Step 6: Final answer
    x = 1,567.09

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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.