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Finding the Fourth Proportional to 2,502.64, 3,748.92 and 2,095.84

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Solution

The fourth proportional to 2,502.64, 3,748.92 and 2,095.84 is: 3,139.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.64 : 3,748.92 = 2,095.84 : x
  2. Step 2: Convert to fraction form
    2,502.64/3,748.92 = 2,095.84/x
  3. Step 3: Cross multiply
    2,502.64x = 3,748.92 × 2,095.84
  4. Step 4: Simplify right side
    2,502.64x = 7,857,136.49
  5. Step 5: Solve for x
    x = 7,857,136.49/2,502.64
  6. Step 6: Final answer
    x = 3,139.54

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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.