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Finding the Fourth Proportional to 1,553.90, 2,153.63 and 1,524.74

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Solution

The fourth proportional to 1,553.90, 2,153.63 and 1,524.74 is: 2,113.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.90 : 2,153.63 = 1,524.74 : x
  2. Step 2: Convert to fraction form
    1,553.90/2,153.63 = 1,524.74/x
  3. Step 3: Cross multiply
    1,553.90x = 2,153.63 × 1,524.74
  4. Step 4: Simplify right side
    1,553.90x = 3,283,723.57
  5. Step 5: Solve for x
    x = 3,283,723.57/1,553.90
  6. Step 6: Final answer
    x = 2,113.21

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.