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Finding the Fourth Proportional to 1,813.68, 2,503.12 and 1,027.76

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Solution

The fourth proportional to 1,813.68, 2,503.12 and 1,027.76 is: 1,418.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.68 : 2,503.12 = 1,027.76 : x
  2. Step 2: Convert to fraction form
    1,813.68/2,503.12 = 1,027.76/x
  3. Step 3: Cross multiply
    1,813.68x = 2,503.12 × 1,027.76
  4. Step 4: Simplify right side
    1,813.68x = 2,572,606.61
  5. Step 5: Solve for x
    x = 2,572,606.61/1,813.68
  6. Step 6: Final answer
    x = 1,418.45

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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.