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Finding the Fourth Proportional to 1,668.02, 2,497.37 and 844.52

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Solution

The fourth proportional to 1,668.02, 2,497.37 and 844.52 is: 1,264.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.02 : 2,497.37 = 844.52 : x
  2. Step 2: Convert to fraction form
    1,668.02/2,497.37 = 844.52/x
  3. Step 3: Cross multiply
    1,668.02x = 2,497.37 × 844.52
  4. Step 4: Simplify right side
    1,668.02x = 2,109,078.91
  5. Step 5: Solve for x
    x = 2,109,078.91/1,668.02
  6. Step 6: Final answer
    x = 1,264.42

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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.