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Finding the Fourth Proportional to 2,066.72, 2,851.95 and 1,182.53

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Solution

The fourth proportional to 2,066.72, 2,851.95 and 1,182.53 is: 1,631.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.72 : 2,851.95 = 1,182.53 : x
  2. Step 2: Convert to fraction form
    2,066.72/2,851.95 = 1,182.53/x
  3. Step 3: Cross multiply
    2,066.72x = 2,851.95 × 1,182.53
  4. Step 4: Simplify right side
    2,066.72x = 3,372,502.17
  5. Step 5: Solve for x
    x = 3,372,502.17/2,066.72
  6. Step 6: Final answer
    x = 1,631.82

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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.