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Finding the Fourth Proportional to 2,507.84, 3,766.02 and 2,090.94

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Solution

The fourth proportional to 2,507.84, 3,766.02 and 2,090.94 is: 3,139.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.84 : 3,766.02 = 2,090.94 : x
  2. Step 2: Convert to fraction form
    2,507.84/3,766.02 = 2,090.94/x
  3. Step 3: Cross multiply
    2,507.84x = 3,766.02 × 2,090.94
  4. Step 4: Simplify right side
    2,507.84x = 7,874,521.86
  5. Step 5: Solve for x
    x = 7,874,521.86/2,507.84
  6. Step 6: Final answer
    x = 3,139.97

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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.