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Finding the Fourth Proportional to 1,440.83, 1,984.47 and 1,244.00

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Solution

The fourth proportional to 1,440.83, 1,984.47 and 1,244.00 is: 1,713.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.83 : 1,984.47 = 1,244.00 : x
  2. Step 2: Convert to fraction form
    1,440.83/1,984.47 = 1,244.00/x
  3. Step 3: Cross multiply
    1,440.83x = 1,984.47 × 1,244.00
  4. Step 4: Simplify right side
    1,440.83x = 2,468,680.98
  5. Step 5: Solve for x
    x = 2,468,680.98/1,440.83
  6. Step 6: Final answer
    x = 1,713.37

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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.