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Finding the Fourth Proportional to 1,574.46, 2,361.70 and 752.82

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Solution

The fourth proportional to 1,574.46, 2,361.70 and 752.82 is: 1,129.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.46 : 2,361.70 = 752.82 : x
  2. Step 2: Convert to fraction form
    1,574.46/2,361.70 = 752.82/x
  3. Step 3: Cross multiply
    1,574.46x = 2,361.70 × 752.82
  4. Step 4: Simplify right side
    1,574.46x = 1,777,934.99
  5. Step 5: Solve for x
    x = 1,777,934.99/1,574.46
  6. Step 6: Final answer
    x = 1,129.23

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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.