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Finding the Fourth Proportional to 2,972.69, 4,459.49 and 1,024.45

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Solution

The fourth proportional to 2,972.69, 4,459.49 and 1,024.45 is: 1,536.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.69 : 4,459.49 = 1,024.45 : x
  2. Step 2: Convert to fraction form
    2,972.69/4,459.49 = 1,024.45/x
  3. Step 3: Cross multiply
    2,972.69x = 4,459.49 × 1,024.45
  4. Step 4: Simplify right side
    2,972.69x = 4,568,524.53
  5. Step 5: Solve for x
    x = 4,568,524.53/2,972.69
  6. Step 6: Final answer
    x = 1,536.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.