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Finding the Fourth Proportional to 1,665.11, 2,497.66 and 569.48

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Solution

The fourth proportional to 1,665.11, 2,497.66 and 569.48 is: 854.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.11 : 2,497.66 = 569.48 : x
  2. Step 2: Convert to fraction form
    1,665.11/2,497.66 = 569.48/x
  3. Step 3: Cross multiply
    1,665.11x = 2,497.66 × 569.48
  4. Step 4: Simplify right side
    1,665.11x = 1,422,369.16
  5. Step 5: Solve for x
    x = 1,422,369.16/1,665.11
  6. Step 6: Final answer
    x = 854.22

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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.