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Finding the Fourth Proportional to 2,951.64, 4,073.82 and 1,756.89

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Solution

The fourth proportional to 2,951.64, 4,073.82 and 1,756.89 is: 2,424.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,951.64 : 4,073.82 = 1,756.89 : x
  2. Step 2: Convert to fraction form
    2,951.64/4,073.82 = 1,756.89/x
  3. Step 3: Cross multiply
    2,951.64x = 4,073.82 × 1,756.89
  4. Step 4: Simplify right side
    2,951.64x = 7,157,253.62
  5. Step 5: Solve for x
    x = 7,157,253.62/2,951.64
  6. Step 6: Final answer
    x = 2,424.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.