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Finding the Fourth Proportional to 1,521.97, 2,283.09 and 426.35

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Solution

The fourth proportional to 1,521.97, 2,283.09 and 426.35 is: 639.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.97 : 2,283.09 = 426.35 : x
  2. Step 2: Convert to fraction form
    1,521.97/2,283.09 = 426.35/x
  3. Step 3: Cross multiply
    1,521.97x = 2,283.09 × 426.35
  4. Step 4: Simplify right side
    1,521.97x = 973,381.87
  5. Step 5: Solve for x
    x = 973,381.87/1,521.97
  6. Step 6: Final answer
    x = 639.56

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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.