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Finding the Fourth Proportional to 1,813.70, 2,502.42 and 1,027.73

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Solution

The fourth proportional to 1,813.70, 2,502.42 and 1,027.73 is: 1,417.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.70 : 2,502.42 = 1,027.73 : x
  2. Step 2: Convert to fraction form
    1,813.70/2,502.42 = 1,027.73/x
  3. Step 3: Cross multiply
    1,813.70x = 2,502.42 × 1,027.73
  4. Step 4: Simplify right side
    1,813.70x = 2,571,812.11
  5. Step 5: Solve for x
    x = 2,571,812.11/1,813.70
  6. Step 6: Final answer
    x = 1,417.99

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1.5x scale

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.