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Finding the Fourth Proportional to 1,559.86, 2,152.60 and 896.83

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Solution

The fourth proportional to 1,559.86, 2,152.60 and 896.83 is: 1,237.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.86 : 2,152.60 = 896.83 : x
  2. Step 2: Convert to fraction form
    1,559.86/2,152.60 = 896.83/x
  3. Step 3: Cross multiply
    1,559.86x = 2,152.60 × 896.83
  4. Step 4: Simplify right side
    1,559.86x = 1,930,516.26
  5. Step 5: Solve for x
    x = 1,930,516.26/1,559.86
  6. Step 6: Final answer
    x = 1,237.62

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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.