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Finding the Fourth Proportional to 1,557.90, 2,149.92 and 859.27

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Solution

The fourth proportional to 1,557.90, 2,149.92 and 859.27 is: 1,185.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.90 : 2,149.92 = 859.27 : x
  2. Step 2: Convert to fraction form
    1,557.90/2,149.92 = 859.27/x
  3. Step 3: Cross multiply
    1,557.90x = 2,149.92 × 859.27
  4. Step 4: Simplify right side
    1,557.90x = 1,847,361.76
  5. Step 5: Solve for x
    x = 1,847,361.76/1,557.90
  6. Step 6: Final answer
    x = 1,185.80

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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.