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Finding the Fourth Proportional to 2,741.64, 3,781.26 and 2,482.44

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Solution

The fourth proportional to 2,741.64, 3,781.26 and 2,482.44 is: 3,423.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.64 : 3,781.26 = 2,482.44 : x
  2. Step 2: Convert to fraction form
    2,741.64/3,781.26 = 2,482.44/x
  3. Step 3: Cross multiply
    2,741.64x = 3,781.26 × 2,482.44
  4. Step 4: Simplify right side
    2,741.64x = 9,386,751.07
  5. Step 5: Solve for x
    x = 9,386,751.07/2,741.64
  6. Step 6: Final answer
    x = 3,423.77

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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.