Home / 2,048.26-2,826.64-1,116.76

Finding the Fourth Proportional to 2,048.26, 2,826.64 and 1,116.76

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Solution

The fourth proportional to 2,048.26, 2,826.64 and 1,116.76 is: 1,541.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.26 : 2,826.64 = 1,116.76 : x
  2. Step 2: Convert to fraction form
    2,048.26/2,826.64 = 1,116.76/x
  3. Step 3: Cross multiply
    2,048.26x = 2,826.64 × 1,116.76
  4. Step 4: Simplify right side
    2,048.26x = 3,156,678.49
  5. Step 5: Solve for x
    x = 3,156,678.49/2,048.26
  6. Step 6: Final answer
    x = 1,541.15

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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.