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Finding the Fourth Proportional to 2,504.76, 3,757.06 and 1,409.13

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Solution

The fourth proportional to 2,504.76, 3,757.06 and 1,409.13 is: 2,113.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.76 : 3,757.06 = 1,409.13 : x
  2. Step 2: Convert to fraction form
    2,504.76/3,757.06 = 1,409.13/x
  3. Step 3: Cross multiply
    2,504.76x = 3,757.06 × 1,409.13
  4. Step 4: Simplify right side
    2,504.76x = 5,294,185.96
  5. Step 5: Solve for x
    x = 5,294,185.96/2,504.76
  6. Step 6: Final answer
    x = 2,113.65

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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.