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Finding the Fourth Proportional to 4,829.68, 7,241.86 and 1,497.01

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Solution

The fourth proportional to 4,829.68, 7,241.86 and 1,497.01 is: 2,244.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,829.68 : 7,241.86 = 1,497.01 : x
  2. Step 2: Convert to fraction form
    4,829.68/7,241.86 = 1,497.01/x
  3. Step 3: Cross multiply
    4,829.68x = 7,241.86 × 1,497.01
  4. Step 4: Simplify right side
    4,829.68x = 10,841,120.61
  5. Step 5: Solve for x
    x = 10,841,120.61/4,829.68
  6. Step 6: Final answer
    x = 2,244.69

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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.