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Finding the Fourth Proportional to 2,047.69, 2,825.82 and 1,116.19

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Solution

The fourth proportional to 2,047.69, 2,825.82 and 1,116.19 is: 1,540.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.69 : 2,825.82 = 1,116.19 : x
  2. Step 2: Convert to fraction form
    2,047.69/2,825.82 = 1,116.19/x
  3. Step 3: Cross multiply
    2,047.69x = 2,825.82 × 1,116.19
  4. Step 4: Simplify right side
    2,047.69x = 3,154,152.03
  5. Step 5: Solve for x
    x = 3,154,152.03/2,047.69
  6. Step 6: Final answer
    x = 1,540.35

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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.