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Finding the Fourth Proportional to 1,611.80, 2,417.75 and 571.66

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Solution

The fourth proportional to 1,611.80, 2,417.75 and 571.66 is: 857.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.80 : 2,417.75 = 571.66 : x
  2. Step 2: Convert to fraction form
    1,611.80/2,417.75 = 571.66/x
  3. Step 3: Cross multiply
    1,611.80x = 2,417.75 × 571.66
  4. Step 4: Simplify right side
    1,611.80x = 1,382,130.97
  5. Step 5: Solve for x
    x = 1,382,130.97/1,611.80
  6. Step 6: Final answer
    x = 857.51

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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.