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Finding the Fourth Proportional to 2,066.49, 2,851.76 and 1,182.30

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Solution

The fourth proportional to 2,066.49, 2,851.76 and 1,182.30 is: 1,631.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.49 : 2,851.76 = 1,182.30 : x
  2. Step 2: Convert to fraction form
    2,066.49/2,851.76 = 1,182.30/x
  3. Step 3: Cross multiply
    2,066.49x = 2,851.76 × 1,182.30
  4. Step 4: Simplify right side
    2,066.49x = 3,371,629.94
  5. Step 5: Solve for x
    x = 3,371,629.94/2,066.49
  6. Step 6: Final answer
    x = 1,631.57

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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.