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Finding the Fourth Proportional to 1,813.76, 2,502.84 and 1,028

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Solution

The fourth proportional to 1,813.76, 2,502.84 and 1,028 is: 1,418.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.76 : 2,502.84 = 1,028 : x
  2. Step 2: Convert to fraction form
    1,813.76/2,502.84 = 1,028/x
  3. Step 3: Cross multiply
    1,813.76x = 2,502.84 × 1,028
  4. Step 4: Simplify right side
    1,813.76x = 2,572,919.52
  5. Step 5: Solve for x
    x = 2,572,919.52/1,813.76
  6. Step 6: Final answer
    x = 1,418.56

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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.