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Finding the Fourth Proportional to 1,669.08, 2,304.15 and 1,309.53

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Solution

The fourth proportional to 1,669.08, 2,304.15 and 1,309.53 is: 1,807.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.08 : 2,304.15 = 1,309.53 : x
  2. Step 2: Convert to fraction form
    1,669.08/2,304.15 = 1,309.53/x
  3. Step 3: Cross multiply
    1,669.08x = 2,304.15 × 1,309.53
  4. Step 4: Simplify right side
    1,669.08x = 3,017,353.55
  5. Step 5: Solve for x
    x = 3,017,353.55/1,669.08
  6. Step 6: Final answer
    x = 1,807.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.