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Finding the Fourth Proportional to 1,359.14, 2,035.96 and 895.77

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Solution

The fourth proportional to 1,359.14, 2,035.96 and 895.77 is: 1,341.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.14 : 2,035.96 = 895.77 : x
  2. Step 2: Convert to fraction form
    1,359.14/2,035.96 = 895.77/x
  3. Step 3: Cross multiply
    1,359.14x = 2,035.96 × 895.77
  4. Step 4: Simplify right side
    1,359.14x = 1,823,749.65
  5. Step 5: Solve for x
    x = 1,823,749.65/1,359.14
  6. Step 6: Final answer
    x = 1,341.85

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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.