Home / 2,038.50-2,813.19-1,107.06

Finding the Fourth Proportional to 2,038.50, 2,813.19 and 1,107.06

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Solution

The fourth proportional to 2,038.50, 2,813.19 and 1,107.06 is: 1,527.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.50 : 2,813.19 = 1,107.06 : x
  2. Step 2: Convert to fraction form
    2,038.50/2,813.19 = 1,107.06/x
  3. Step 3: Cross multiply
    2,038.50x = 2,813.19 × 1,107.06
  4. Step 4: Simplify right side
    2,038.50x = 3,114,370.12
  5. Step 5: Solve for x
    x = 3,114,370.12/2,038.50
  6. Step 6: Final answer
    x = 1,527.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.