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Finding the Fourth Proportional to 2,066.52, 2,851.76 and 1,135

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Solution

The fourth proportional to 2,066.52, 2,851.76 and 1,135 is: 1,566.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.52 : 2,851.76 = 1,135 : x
  2. Step 2: Convert to fraction form
    2,066.52/2,851.76 = 1,135/x
  3. Step 3: Cross multiply
    2,066.52x = 2,851.76 × 1,135
  4. Step 4: Simplify right side
    2,066.52x = 3,236,747.60
  5. Step 5: Solve for x
    x = 3,236,747.60/2,066.52
  6. Step 6: Final answer
    x = 1,566.28

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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.