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Finding the Fourth Proportional to 1,813.39, 2,502.63 and 1,105.06

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Solution

The fourth proportional to 1,813.39, 2,502.63 and 1,105.06 is: 1,525.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.39 : 2,502.63 = 1,105.06 : x
  2. Step 2: Convert to fraction form
    1,813.39/2,502.63 = 1,105.06/x
  3. Step 3: Cross multiply
    1,813.39x = 2,502.63 × 1,105.06
  4. Step 4: Simplify right side
    1,813.39x = 2,765,543.79
  5. Step 5: Solve for x
    x = 2,765,543.79/1,813.39
  6. Step 6: Final answer
    x = 1,525.07

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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.