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Finding the Fourth Proportional to 1,573.68, 2,361.53 and 1,454.55

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Solution

The fourth proportional to 1,573.68, 2,361.53 and 1,454.55 is: 2,182.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.68 : 2,361.53 = 1,454.55 : x
  2. Step 2: Convert to fraction form
    1,573.68/2,361.53 = 1,454.55/x
  3. Step 3: Cross multiply
    1,573.68x = 2,361.53 × 1,454.55
  4. Step 4: Simplify right side
    1,573.68x = 3,434,963.46
  5. Step 5: Solve for x
    x = 3,434,963.46/1,573.68
  6. Step 6: Final answer
    x = 2,182.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.