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Finding the Fourth Proportional to 2,744.03, 4,109.02 and 1,510.08

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Solution

The fourth proportional to 2,744.03, 4,109.02 and 1,510.08 is: 2,261.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.03 : 4,109.02 = 1,510.08 : x
  2. Step 2: Convert to fraction form
    2,744.03/4,109.02 = 1,510.08/x
  3. Step 3: Cross multiply
    2,744.03x = 4,109.02 × 1,510.08
  4. Step 4: Simplify right side
    2,744.03x = 6,204,948.92
  5. Step 5: Solve for x
    x = 6,204,948.92/2,744.03
  6. Step 6: Final answer
    x = 2,261.25

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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.