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Finding the Fourth Proportional to 2,535.71, 3,490.09 and 2,214.34

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Solution

The fourth proportional to 2,535.71, 3,490.09 and 2,214.34 is: 3,047.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.71 : 3,490.09 = 2,214.34 : x
  2. Step 2: Convert to fraction form
    2,535.71/3,490.09 = 2,214.34/x
  3. Step 3: Cross multiply
    2,535.71x = 3,490.09 × 2,214.34
  4. Step 4: Simplify right side
    2,535.71x = 7,728,231.63
  5. Step 5: Solve for x
    x = 7,728,231.63/2,535.71
  6. Step 6: Final answer
    x = 3,047.76

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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.