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Finding the Fourth Proportional to 2,591.98, 3,907.51 and 2,424.94

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Solution

The fourth proportional to 2,591.98, 3,907.51 and 2,424.94 is: 3,655.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.98 : 3,907.51 = 2,424.94 : x
  2. Step 2: Convert to fraction form
    2,591.98/3,907.51 = 2,424.94/x
  3. Step 3: Cross multiply
    2,591.98x = 3,907.51 × 2,424.94
  4. Step 4: Simplify right side
    2,591.98x = 9,475,477.30
  5. Step 5: Solve for x
    x = 9,475,477.30/2,591.98
  6. Step 6: Final answer
    x = 3,655.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.