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Finding the Fourth Proportional to 1,440.44, 2,156.52 and 823.04

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Solution

The fourth proportional to 1,440.44, 2,156.52 and 823.04 is: 1,232.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.44 : 2,156.52 = 823.04 : x
  2. Step 2: Convert to fraction form
    1,440.44/2,156.52 = 823.04/x
  3. Step 3: Cross multiply
    1,440.44x = 2,156.52 × 823.04
  4. Step 4: Simplify right side
    1,440.44x = 1,774,902.22
  5. Step 5: Solve for x
    x = 1,774,902.22/1,440.44
  6. Step 6: Final answer
    x = 1,232.19

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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.