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Finding the Fourth Proportional to 1,758.42, 2,637.81 and 604.17

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Solution

The fourth proportional to 1,758.42, 2,637.81 and 604.17 is: 906.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.42 : 2,637.81 = 604.17 : x
  2. Step 2: Convert to fraction form
    1,758.42/2,637.81 = 604.17/x
  3. Step 3: Cross multiply
    1,758.42x = 2,637.81 × 604.17
  4. Step 4: Simplify right side
    1,758.42x = 1,593,685.67
  5. Step 5: Solve for x
    x = 1,593,685.67/1,758.42
  6. Step 6: Final answer
    x = 906.32

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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.