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Finding the Fourth Proportional to 1,863, 2,575.74 and 1,781.40

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Solution

The fourth proportional to 1,863, 2,575.74 and 1,781.40 is: 2,462.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863 : 2,575.74 = 1,781.40 : x
  2. Step 2: Convert to fraction form
    1,863/2,575.74 = 1,781.40/x
  3. Step 3: Cross multiply
    1,863x = 2,575.74 × 1,781.40
  4. Step 4: Simplify right side
    1,863x = 4,588,423.24
  5. Step 5: Solve for x
    x = 4,588,423.24/1,863
  6. Step 6: Final answer
    x = 2,462.92

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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.