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Finding the Fourth Proportional to 2,424.82, 3,636.46 and 781

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Solution

The fourth proportional to 2,424.82, 3,636.46 and 781 is: 1,171.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.82 : 3,636.46 = 781 : x
  2. Step 2: Convert to fraction form
    2,424.82/3,636.46 = 781/x
  3. Step 3: Cross multiply
    2,424.82x = 3,636.46 × 781
  4. Step 4: Simplify right side
    2,424.82x = 2,840,075.26
  5. Step 5: Solve for x
    x = 2,840,075.26/2,424.82
  6. Step 6: Final answer
    x = 1,171.25

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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.