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Finding the Fourth Proportional to 2,048.13, 2,826.42 and 1,116.63

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Solution

The fourth proportional to 2,048.13, 2,826.42 and 1,116.63 is: 1,540.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.13 : 2,826.42 = 1,116.63 : x
  2. Step 2: Convert to fraction form
    2,048.13/2,826.42 = 1,116.63/x
  3. Step 3: Cross multiply
    2,048.13x = 2,826.42 × 1,116.63
  4. Step 4: Simplify right side
    2,048.13x = 3,156,065.36
  5. Step 5: Solve for x
    x = 3,156,065.36/2,048.13
  6. Step 6: Final answer
    x = 1,540.95

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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.