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Finding the Fourth Proportional to 1,559.49, 2,151.21 and 969.66

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Solution

The fourth proportional to 1,559.49, 2,151.21 and 969.66 is: 1,337.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.49 : 2,151.21 = 969.66 : x
  2. Step 2: Convert to fraction form
    1,559.49/2,151.21 = 969.66/x
  3. Step 3: Cross multiply
    1,559.49x = 2,151.21 × 969.66
  4. Step 4: Simplify right side
    1,559.49x = 2,085,942.29
  5. Step 5: Solve for x
    x = 2,085,942.29/1,559.49
  6. Step 6: Final answer
    x = 1,337.58

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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.