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Finding the Fourth Proportional to 1,667.23, 2,498.11 and 571.00

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Solution

The fourth proportional to 1,667.23, 2,498.11 and 571.00 is: 855.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.23 : 2,498.11 = 571.00 : x
  2. Step 2: Convert to fraction form
    1,667.23/2,498.11 = 571.00/x
  3. Step 3: Cross multiply
    1,667.23x = 2,498.11 × 571.00
  4. Step 4: Simplify right side
    1,667.23x = 1,426,405.46
  5. Step 5: Solve for x
    x = 1,426,405.46/1,667.23
  6. Step 6: Final answer
    x = 855.55

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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.