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Finding the Fourth Proportional to 1,359.89, 2,037.08 and 896.52

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Solution

The fourth proportional to 1,359.89, 2,037.08 and 896.52 is: 1,342.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.89 : 2,037.08 = 896.52 : x
  2. Step 2: Convert to fraction form
    1,359.89/2,037.08 = 896.52/x
  3. Step 3: Cross multiply
    1,359.89x = 2,037.08 × 896.52
  4. Step 4: Simplify right side
    1,359.89x = 1,826,285.20
  5. Step 5: Solve for x
    x = 1,826,285.20/1,359.89
  6. Step 6: Final answer
    x = 1,342.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.