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Finding the Fourth Proportional to 3,287.32, 4,534.24 and 1,960

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Solution

The fourth proportional to 3,287.32, 4,534.24 and 1,960 is: 2,703.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.32 : 4,534.24 = 1,960 : x
  2. Step 2: Convert to fraction form
    3,287.32/4,534.24 = 1,960/x
  3. Step 3: Cross multiply
    3,287.32x = 4,534.24 × 1,960
  4. Step 4: Simplify right side
    3,287.32x = 8,887,110.40
  5. Step 5: Solve for x
    x = 8,887,110.40/3,287.32
  6. Step 6: Final answer
    x = 2,703.45

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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.