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Finding the Fourth Proportional to 1,813.89, 2,502.39 and 1,223.40

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Solution

The fourth proportional to 1,813.89, 2,502.39 and 1,223.40 is: 1,687.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.89 : 2,502.39 = 1,223.40 : x
  2. Step 2: Convert to fraction form
    1,813.89/2,502.39 = 1,223.40/x
  3. Step 3: Cross multiply
    1,813.89x = 2,502.39 × 1,223.40
  4. Step 4: Simplify right side
    1,813.89x = 3,061,423.93
  5. Step 5: Solve for x
    x = 3,061,423.93/1,813.89
  6. Step 6: Final answer
    x = 1,687.77

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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.