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Finding the Fourth Proportional to 1,559.42, 2,151.90 and 969.94

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Solution

The fourth proportional to 1,559.42, 2,151.90 and 969.94 is: 1,338.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.42 : 2,151.90 = 969.94 : x
  2. Step 2: Convert to fraction form
    1,559.42/2,151.90 = 969.94/x
  3. Step 3: Cross multiply
    1,559.42x = 2,151.90 × 969.94
  4. Step 4: Simplify right side
    1,559.42x = 2,087,213.89
  5. Step 5: Solve for x
    x = 2,087,213.89/1,559.42
  6. Step 6: Final answer
    x = 1,338.46

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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.