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Finding the Fourth Proportional to 1,664.96, 2,297.24 and 1,222.08

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Solution

The fourth proportional to 1,664.96, 2,297.24 and 1,222.08 is: 1,686.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.96 : 2,297.24 = 1,222.08 : x
  2. Step 2: Convert to fraction form
    1,664.96/2,297.24 = 1,222.08/x
  3. Step 3: Cross multiply
    1,664.96x = 2,297.24 × 1,222.08
  4. Step 4: Simplify right side
    1,664.96x = 2,807,404.95
  5. Step 5: Solve for x
    x = 2,807,404.95/1,664.96
  6. Step 6: Final answer
    x = 1,686.17

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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.