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Finding the Fourth Proportional to 1,623.83, 2,240.56 and 960.79

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Solution

The fourth proportional to 1,623.83, 2,240.56 and 960.79 is: 1,325.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.83 : 2,240.56 = 960.79 : x
  2. Step 2: Convert to fraction form
    1,623.83/2,240.56 = 960.79/x
  3. Step 3: Cross multiply
    1,623.83x = 2,240.56 × 960.79
  4. Step 4: Simplify right side
    1,623.83x = 2,152,707.64
  5. Step 5: Solve for x
    x = 2,152,707.64/1,623.83
  6. Step 6: Final answer
    x = 1,325.70

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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.