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Finding the Fourth Proportional to 2,056.24, 3,085.04 and 960.00

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Solution

The fourth proportional to 2,056.24, 3,085.04 and 960.00 is: 1,440.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.24 : 3,085.04 = 960.00 : x
  2. Step 2: Convert to fraction form
    2,056.24/3,085.04 = 960.00/x
  3. Step 3: Cross multiply
    2,056.24x = 3,085.04 × 960.00
  4. Step 4: Simplify right side
    2,056.24x = 2,961,641.18
  5. Step 5: Solve for x
    x = 2,961,641.18/2,056.24
  6. Step 6: Final answer
    x = 1,440.32

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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.