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Finding the Fourth Proportional to 1,497.93, 2,241.94 and 829.82

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Solution

The fourth proportional to 1,497.93, 2,241.94 and 829.82 is: 1,241.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.93 : 2,241.94 = 829.82 : x
  2. Step 2: Convert to fraction form
    1,497.93/2,241.94 = 829.82/x
  3. Step 3: Cross multiply
    1,497.93x = 2,241.94 × 829.82
  4. Step 4: Simplify right side
    1,497.93x = 1,860,406.65
  5. Step 5: Solve for x
    x = 1,860,406.65/1,497.93
  6. Step 6: Final answer
    x = 1,241.99

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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.