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Finding the Fourth Proportional to 2,602.48, 3,913.09 and 2,399.53

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Solution

The fourth proportional to 2,602.48, 3,913.09 and 2,399.53 is: 3,607.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.48 : 3,913.09 = 2,399.53 : x
  2. Step 2: Convert to fraction form
    2,602.48/3,913.09 = 2,399.53/x
  3. Step 3: Cross multiply
    2,602.48x = 3,913.09 × 2,399.53
  4. Step 4: Simplify right side
    2,602.48x = 9,389,564.85
  5. Step 5: Solve for x
    x = 9,389,564.85/2,602.48
  6. Step 6: Final answer
    x = 3,607.93

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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.