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Finding the Fourth Proportional to 2,740.43, 3,781.38 and 1,746.56

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Solution

The fourth proportional to 2,740.43, 3,781.38 and 1,746.56 is: 2,409.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.43 : 3,781.38 = 1,746.56 : x
  2. Step 2: Convert to fraction form
    2,740.43/3,781.38 = 1,746.56/x
  3. Step 3: Cross multiply
    2,740.43x = 3,781.38 × 1,746.56
  4. Step 4: Simplify right side
    2,740.43x = 6,604,423.06
  5. Step 5: Solve for x
    x = 6,604,423.06/2,740.43
  6. Step 6: Final answer
    x = 2,409.99

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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.