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Finding the Fourth Proportional to 1,813.61, 2,502.69 and 1,027.46

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Solution

The fourth proportional to 1,813.61, 2,502.69 and 1,027.46 is: 1,417.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.61 : 2,502.69 = 1,027.46 : x
  2. Step 2: Convert to fraction form
    1,813.61/2,502.69 = 1,027.46/x
  3. Step 3: Cross multiply
    1,813.61x = 2,502.69 × 1,027.46
  4. Step 4: Simplify right side
    1,813.61x = 2,571,413.87
  5. Step 5: Solve for x
    x = 2,571,413.87/1,813.61
  6. Step 6: Final answer
    x = 1,417.84

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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.