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Finding the Fourth Proportional to 1,557.79, 2,149.60 and 859.16

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Solution

The fourth proportional to 1,557.79, 2,149.60 and 859.16 is: 1,185.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.79 : 2,149.60 = 859.16 : x
  2. Step 2: Convert to fraction form
    1,557.79/2,149.60 = 859.16/x
  3. Step 3: Cross multiply
    1,557.79x = 2,149.60 × 859.16
  4. Step 4: Simplify right side
    1,557.79x = 1,846,850.34
  5. Step 5: Solve for x
    x = 1,846,850.34/1,557.79
  6. Step 6: Final answer
    x = 1,185.56

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