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Finding the Fourth Proportional to 1,667.19, 2,500.91 and 571.55

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Solution

The fourth proportional to 1,667.19, 2,500.91 and 571.55 is: 857.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.19 : 2,500.91 = 571.55 : x
  2. Step 2: Convert to fraction form
    1,667.19/2,500.91 = 571.55/x
  3. Step 3: Cross multiply
    1,667.19x = 2,500.91 × 571.55
  4. Step 4: Simplify right side
    1,667.19x = 1,429,384.03
  5. Step 5: Solve for x
    x = 1,429,384.03/1,667.19
  6. Step 6: Final answer
    x = 857.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.