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Finding the Fourth Proportional to 2,491.57, 3,438.98 and 1,444.24

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Solution

The fourth proportional to 2,491.57, 3,438.98 and 1,444.24 is: 1,993.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.57 : 3,438.98 = 1,444.24 : x
  2. Step 2: Convert to fraction form
    2,491.57/3,438.98 = 1,444.24/x
  3. Step 3: Cross multiply
    2,491.57x = 3,438.98 × 1,444.24
  4. Step 4: Simplify right side
    2,491.57x = 4,966,705.25
  5. Step 5: Solve for x
    x = 4,966,705.25/2,491.57
  6. Step 6: Final answer
    x = 1,993.40

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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.