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Finding the Fourth Proportional to 1,669.32, 2,504.01 and 980.82

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Solution

The fourth proportional to 1,669.32, 2,504.01 and 980.82 is: 1,471.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.32 : 2,504.01 = 980.82 : x
  2. Step 2: Convert to fraction form
    1,669.32/2,504.01 = 980.82/x
  3. Step 3: Cross multiply
    1,669.32x = 2,504.01 × 980.82
  4. Step 4: Simplify right side
    1,669.32x = 2,455,983.09
  5. Step 5: Solve for x
    x = 2,455,983.09/1,669.32
  6. Step 6: Final answer
    x = 1,471.25

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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.