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Finding the Fourth Proportional to 1,455.15, 2,178.44 and 960.65

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Solution

The fourth proportional to 1,455.15, 2,178.44 and 960.65 is: 1,438.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.15 : 2,178.44 = 960.65 : x
  2. Step 2: Convert to fraction form
    1,455.15/2,178.44 = 960.65/x
  3. Step 3: Cross multiply
    1,455.15x = 2,178.44 × 960.65
  4. Step 4: Simplify right side
    1,455.15x = 2,092,702.69
  5. Step 5: Solve for x
    x = 2,092,702.69/1,455.15
  6. Step 6: Final answer
    x = 1,438.14

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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.