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Finding the Fourth Proportional to 2,655.47, 3,664.50 and 1,476.53

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Solution

The fourth proportional to 2,655.47, 3,664.50 and 1,476.53 is: 2,037.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.47 : 3,664.50 = 1,476.53 : x
  2. Step 2: Convert to fraction form
    2,655.47/3,664.50 = 1,476.53/x
  3. Step 3: Cross multiply
    2,655.47x = 3,664.50 × 1,476.53
  4. Step 4: Simplify right side
    2,655.47x = 5,410,744.19
  5. Step 5: Solve for x
    x = 5,410,744.19/2,655.47
  6. Step 6: Final answer
    x = 2,037.58

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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.