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Finding the Fourth Proportional to 1,574.25, 2,361.42 and 534.17

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Solution

The fourth proportional to 1,574.25, 2,361.42 and 534.17 is: 801.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.25 : 2,361.42 = 534.17 : x
  2. Step 2: Convert to fraction form
    1,574.25/2,361.42 = 534.17/x
  3. Step 3: Cross multiply
    1,574.25x = 2,361.42 × 534.17
  4. Step 4: Simplify right side
    1,574.25x = 1,261,405.62
  5. Step 5: Solve for x
    x = 1,261,405.62/1,574.25
  6. Step 6: Final answer
    x = 801.28

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Why These Related Problems?

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