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Finding the Fourth Proportional to 2,655.42, 3,664.62 and 1,476.56

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Solution

The fourth proportional to 2,655.42, 3,664.62 and 1,476.56 is: 2,037.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.42 : 3,664.62 = 1,476.56 : x
  2. Step 2: Convert to fraction form
    2,655.42/3,664.62 = 1,476.56/x
  3. Step 3: Cross multiply
    2,655.42x = 3,664.62 × 1,476.56
  4. Step 4: Simplify right side
    2,655.42x = 5,411,031.31
  5. Step 5: Solve for x
    x = 5,411,031.31/2,655.42
  6. Step 6: Final answer
    x = 2,037.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.