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Finding the Fourth Proportional to 1,669.25, 2,503.09 and 976.13

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Solution

The fourth proportional to 1,669.25, 2,503.09 and 976.13 is: 1,463.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.25 : 2,503.09 = 976.13 : x
  2. Step 2: Convert to fraction form
    1,669.25/2,503.09 = 976.13/x
  3. Step 3: Cross multiply
    1,669.25x = 2,503.09 × 976.13
  4. Step 4: Simplify right side
    1,669.25x = 2,443,336.59
  5. Step 5: Solve for x
    x = 2,443,336.59/1,669.25
  6. Step 6: Final answer
    x = 1,463.73

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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.