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Finding the Fourth Proportional to 3,152.84, 4,729.78 and 961.06

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Solution

The fourth proportional to 3,152.84, 4,729.78 and 961.06 is: 1,441.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.84 : 4,729.78 = 961.06 : x
  2. Step 2: Convert to fraction form
    3,152.84/4,729.78 = 961.06/x
  3. Step 3: Cross multiply
    3,152.84x = 4,729.78 × 961.06
  4. Step 4: Simplify right side
    3,152.84x = 4,545,602.37
  5. Step 5: Solve for x
    x = 4,545,602.37/3,152.84
  6. Step 6: Final answer
    x = 1,441.75

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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.