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Finding the Fourth Proportional to 1,559.72, 2,152.47 and 851.61

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Solution

The fourth proportional to 1,559.72, 2,152.47 and 851.61 is: 1,175.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.72 : 2,152.47 = 851.61 : x
  2. Step 2: Convert to fraction form
    1,559.72/2,152.47 = 851.61/x
  3. Step 3: Cross multiply
    1,559.72x = 2,152.47 × 851.61
  4. Step 4: Simplify right side
    1,559.72x = 1,833,076.24
  5. Step 5: Solve for x
    x = 1,833,076.24/1,559.72
  6. Step 6: Final answer
    x = 1,175.26

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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.