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Finding the Fourth Proportional to 2,538.50, 3,503.13 and 1,491.17

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Solution

The fourth proportional to 2,538.50, 3,503.13 and 1,491.17 is: 2,057.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.50 : 3,503.13 = 1,491.17 : x
  2. Step 2: Convert to fraction form
    2,538.50/3,503.13 = 1,491.17/x
  3. Step 3: Cross multiply
    2,538.50x = 3,503.13 × 1,491.17
  4. Step 4: Simplify right side
    2,538.50x = 5,223,762.36
  5. Step 5: Solve for x
    x = 5,223,762.36/2,538.50
  6. Step 6: Final answer
    x = 2,057.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.