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Finding the Fourth Proportional to 1,559.33, 2,151.88 and 851.18

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Solution

The fourth proportional to 1,559.33, 2,151.88 and 851.18 is: 1,174.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.33 : 2,151.88 = 851.18 : x
  2. Step 2: Convert to fraction form
    1,559.33/2,151.88 = 851.18/x
  3. Step 3: Cross multiply
    1,559.33x = 2,151.88 × 851.18
  4. Step 4: Simplify right side
    1,559.33x = 1,831,637.22
  5. Step 5: Solve for x
    x = 1,831,637.22/1,559.33
  6. Step 6: Final answer
    x = 1,174.63

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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.