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Finding the Fourth Proportional to 2,551.50, 3,521.34 and 1,620

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Solution

The fourth proportional to 2,551.50, 3,521.34 and 1,620 is: 2,235.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.50 : 3,521.34 = 1,620 : x
  2. Step 2: Convert to fraction form
    2,551.50/3,521.34 = 1,620/x
  3. Step 3: Cross multiply
    2,551.50x = 3,521.34 × 1,620
  4. Step 4: Simplify right side
    2,551.50x = 5,704,570.80
  5. Step 5: Solve for x
    x = 5,704,570.80/2,551.50
  6. Step 6: Final answer
    x = 2,235.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.