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Finding the Fourth Proportional to 2,709.44, 4,064.16 and 761.64

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Solution

The fourth proportional to 2,709.44, 4,064.16 and 761.64 is: 1,142.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.44 : 4,064.16 = 761.64 : x
  2. Step 2: Convert to fraction form
    2,709.44/4,064.16 = 761.64/x
  3. Step 3: Cross multiply
    2,709.44x = 4,064.16 × 761.64
  4. Step 4: Simplify right side
    2,709.44x = 3,095,426.82
  5. Step 5: Solve for x
    x = 3,095,426.82/2,709.44
  6. Step 6: Final answer
    x = 1,142.46

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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.