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Finding the Fourth Proportional to 2,066.99, 2,852.45 and 1,122.78

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Solution

The fourth proportional to 2,066.99, 2,852.45 and 1,122.78 is: 1,549.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.99 : 2,852.45 = 1,122.78 : x
  2. Step 2: Convert to fraction form
    2,066.99/2,852.45 = 1,122.78/x
  3. Step 3: Cross multiply
    2,066.99x = 2,852.45 × 1,122.78
  4. Step 4: Simplify right side
    2,066.99x = 3,202,673.81
  5. Step 5: Solve for x
    x = 3,202,673.81/2,066.99
  6. Step 6: Final answer
    x = 1,549.44

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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.