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Finding the Fourth Proportional to 2,533.59, 3,802.23 and 1,440.09

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Solution

The fourth proportional to 2,533.59, 3,802.23 and 1,440.09 is: 2,161.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.59 : 3,802.23 = 1,440.09 : x
  2. Step 2: Convert to fraction form
    2,533.59/3,802.23 = 1,440.09/x
  3. Step 3: Cross multiply
    2,533.59x = 3,802.23 × 1,440.09
  4. Step 4: Simplify right side
    2,533.59x = 5,475,553.40
  5. Step 5: Solve for x
    x = 5,475,553.40/2,533.59
  6. Step 6: Final answer
    x = 2,161.18

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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.