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Finding the Fourth Proportional to 1,893, 2,617.20 and 1,811.40

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Solution

The fourth proportional to 1,893, 2,617.20 and 1,811.40 is: 2,504.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893 : 2,617.20 = 1,811.40 : x
  2. Step 2: Convert to fraction form
    1,893/2,617.20 = 1,811.40/x
  3. Step 3: Cross multiply
    1,893x = 2,617.20 × 1,811.40
  4. Step 4: Simplify right side
    1,893x = 4,740,796.08
  5. Step 5: Solve for x
    x = 4,740,796.08/1,893
  6. Step 6: Final answer
    x = 2,504.38

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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.