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Finding the Fourth Proportional to 1,669.71, 2,503.71 and 976.53

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Solution

The fourth proportional to 1,669.71, 2,503.71 and 976.53 is: 1,464.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.71 : 2,503.71 = 976.53 : x
  2. Step 2: Convert to fraction form
    1,669.71/2,503.71 = 976.53/x
  3. Step 3: Cross multiply
    1,669.71x = 2,503.71 × 976.53
  4. Step 4: Simplify right side
    1,669.71x = 2,444,947.93
  5. Step 5: Solve for x
    x = 2,444,947.93/1,669.71
  6. Step 6: Final answer
    x = 1,464.29

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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.