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Finding the Fourth Proportional to 1,664.82, 2,496.69 and 569.34

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Solution

The fourth proportional to 1,664.82, 2,496.69 and 569.34 is: 853.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.82 : 2,496.69 = 569.34 : x
  2. Step 2: Convert to fraction form
    1,664.82/2,496.69 = 569.34/x
  3. Step 3: Cross multiply
    1,664.82x = 2,496.69 × 569.34
  4. Step 4: Simplify right side
    1,664.82x = 1,421,465.48
  5. Step 5: Solve for x
    x = 1,421,465.48/1,664.82
  6. Step 6: Final answer
    x = 853.83

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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.