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Finding the Fourth Proportional to 2,814.71, 4,201.95 and 2,445.75

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Solution

The fourth proportional to 2,814.71, 4,201.95 and 2,445.75 is: 3,651.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.71 : 4,201.95 = 2,445.75 : x
  2. Step 2: Convert to fraction form
    2,814.71/4,201.95 = 2,445.75/x
  3. Step 3: Cross multiply
    2,814.71x = 4,201.95 × 2,445.75
  4. Step 4: Simplify right side
    2,814.71x = 10,276,919.21
  5. Step 5: Solve for x
    x = 10,276,919.21/2,814.71
  6. Step 6: Final answer
    x = 3,651.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.