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Finding the Fourth Proportional to 2,655.66, 3,664.24 and 1,476.70

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Solution

The fourth proportional to 2,655.66, 3,664.24 and 1,476.70 is: 2,037.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.66 : 3,664.24 = 1,476.70 : x
  2. Step 2: Convert to fraction form
    2,655.66/3,664.24 = 1,476.70/x
  3. Step 3: Cross multiply
    2,655.66x = 3,664.24 × 1,476.70
  4. Step 4: Simplify right side
    2,655.66x = 5,410,983.21
  5. Step 5: Solve for x
    x = 5,410,983.21/2,655.66
  6. Step 6: Final answer
    x = 2,037.53

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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.