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Finding the Fourth Proportional to 3,052.42, 4,578.98 and 971.69

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Solution

The fourth proportional to 3,052.42, 4,578.98 and 971.69 is: 1,457.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.42 : 4,578.98 = 971.69 : x
  2. Step 2: Convert to fraction form
    3,052.42/4,578.98 = 971.69/x
  3. Step 3: Cross multiply
    3,052.42x = 4,578.98 × 971.69
  4. Step 4: Simplify right side
    3,052.42x = 4,449,349.08
  5. Step 5: Solve for x
    x = 4,449,349.08/3,052.42
  6. Step 6: Final answer
    x = 1,457.65

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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.