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Finding the Fourth Proportional to 2,602.17, 3,900.53 and 1,614.99

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Solution

The fourth proportional to 2,602.17, 3,900.53 and 1,614.99 is: 2,420.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.17 : 3,900.53 = 1,614.99 : x
  2. Step 2: Convert to fraction form
    2,602.17/3,900.53 = 1,614.99/x
  3. Step 3: Cross multiply
    2,602.17x = 3,900.53 × 1,614.99
  4. Step 4: Simplify right side
    2,602.17x = 6,299,289.37
  5. Step 5: Solve for x
    x = 6,299,289.37/2,602.17
  6. Step 6: Final answer
    x = 2,420.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.