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Finding the Fourth Proportional to 2,491.44, 3,737.09 and 760.07

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Solution

The fourth proportional to 2,491.44, 3,737.09 and 760.07 is: 1,140.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.44 : 3,737.09 = 760.07 : x
  2. Step 2: Convert to fraction form
    2,491.44/3,737.09 = 760.07/x
  3. Step 3: Cross multiply
    2,491.44x = 3,737.09 × 760.07
  4. Step 4: Simplify right side
    2,491.44x = 2,840,427.51
  5. Step 5: Solve for x
    x = 2,840,427.51/2,491.44
  6. Step 6: Final answer
    x = 1,140.07

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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.