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Finding the Fourth Proportional to 2,655.41, 3,664.58 and 1,476.47

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Solution

The fourth proportional to 2,655.41, 3,664.58 and 1,476.47 is: 2,037.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.41 : 3,664.58 = 1,476.47 : x
  2. Step 2: Convert to fraction form
    2,655.41/3,664.58 = 1,476.47/x
  3. Step 3: Cross multiply
    2,655.41x = 3,664.58 × 1,476.47
  4. Step 4: Simplify right side
    2,655.41x = 5,410,642.43
  5. Step 5: Solve for x
    x = 5,410,642.43/2,655.41
  6. Step 6: Final answer
    x = 2,037.59

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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.