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Finding the Fourth Proportional to 1,498.69, 2,244.61 and 1,323.50

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Solution

The fourth proportional to 1,498.69, 2,244.61 and 1,323.50 is: 1,982.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.69 : 2,244.61 = 1,323.50 : x
  2. Step 2: Convert to fraction form
    1,498.69/2,244.61 = 1,323.50/x
  3. Step 3: Cross multiply
    1,498.69x = 2,244.61 × 1,323.50
  4. Step 4: Simplify right side
    1,498.69x = 2,970,741.34
  5. Step 5: Solve for x
    x = 2,970,741.34/1,498.69
  6. Step 6: Final answer
    x = 1,982.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.