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Finding the Fourth Proportional to 2,607.74, 3,902.29 and 2,265.11

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Solution

The fourth proportional to 2,607.74, 3,902.29 and 2,265.11 is: 3,389.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.74 : 3,902.29 = 2,265.11 : x
  2. Step 2: Convert to fraction form
    2,607.74/3,902.29 = 2,265.11/x
  3. Step 3: Cross multiply
    2,607.74x = 3,902.29 × 2,265.11
  4. Step 4: Simplify right side
    2,607.74x = 8,839,090.93
  5. Step 5: Solve for x
    x = 8,839,090.93/2,607.74
  6. Step 6: Final answer
    x = 3,389.57

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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.