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Finding the Fourth Proportional to 1,813.03, 2,502.04 and 1,027.06

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Solution

The fourth proportional to 1,813.03, 2,502.04 and 1,027.06 is: 1,417.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.03 : 2,502.04 = 1,027.06 : x
  2. Step 2: Convert to fraction form
    1,813.03/2,502.04 = 1,027.06/x
  3. Step 3: Cross multiply
    1,813.03x = 2,502.04 × 1,027.06
  4. Step 4: Simplify right side
    1,813.03x = 2,569,745.20
  5. Step 5: Solve for x
    x = 2,569,745.20/1,813.03
  6. Step 6: Final answer
    x = 1,417.38

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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.