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Finding the Fourth Proportional to 3,182.51, 4,770.32 and 1,334.63

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Solution

The fourth proportional to 3,182.51, 4,770.32 and 1,334.63 is: 2,000.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.51 : 4,770.32 = 1,334.63 : x
  2. Step 2: Convert to fraction form
    3,182.51/4,770.32 = 1,334.63/x
  3. Step 3: Cross multiply
    3,182.51x = 4,770.32 × 1,334.63
  4. Step 4: Simplify right side
    3,182.51x = 6,366,581.66
  5. Step 5: Solve for x
    x = 6,366,581.66/3,182.51
  6. Step 6: Final answer
    x = 2,000.49

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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.