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Finding the Fourth Proportional to 2,047.64, 2,825.46 and 1,151.43

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Solution

The fourth proportional to 2,047.64, 2,825.46 and 1,151.43 is: 1,588.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.64 : 2,825.46 = 1,151.43 : x
  2. Step 2: Convert to fraction form
    2,047.64/2,825.46 = 1,151.43/x
  3. Step 3: Cross multiply
    2,047.64x = 2,825.46 × 1,151.43
  4. Step 4: Simplify right side
    2,047.64x = 3,253,319.41
  5. Step 5: Solve for x
    x = 3,253,319.41/2,047.64
  6. Step 6: Final answer
    x = 1,588.82

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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.