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Finding the Fourth Proportional to 2,361.95, 3,535.93 and 1,434.71

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Solution

The fourth proportional to 2,361.95, 3,535.93 and 1,434.71 is: 2,147.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.95 : 3,535.93 = 1,434.71 : x
  2. Step 2: Convert to fraction form
    2,361.95/3,535.93 = 1,434.71/x
  3. Step 3: Cross multiply
    2,361.95x = 3,535.93 × 1,434.71
  4. Step 4: Simplify right side
    2,361.95x = 5,073,034.13
  5. Step 5: Solve for x
    x = 5,073,034.13/2,361.95
  6. Step 6: Final answer
    x = 2,147.82

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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.