Home / 2,038.20-2,813.86-1,340.78

Finding the Fourth Proportional to 2,038.20, 2,813.86 and 1,340.78

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Solution

The fourth proportional to 2,038.20, 2,813.86 and 1,340.78 is: 1,851.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.20 : 2,813.86 = 1,340.78 : x
  2. Step 2: Convert to fraction form
    2,038.20/2,813.86 = 1,340.78/x
  3. Step 3: Cross multiply
    2,038.20x = 2,813.86 × 1,340.78
  4. Step 4: Simplify right side
    2,038.20x = 3,772,767.21
  5. Step 5: Solve for x
    x = 3,772,767.21/2,038.20
  6. Step 6: Final answer
    x = 1,851.03

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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.