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Finding the Fourth Proportional to 1,531.80, 2,309.67 and 1,477.80

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Solution

The fourth proportional to 1,531.80, 2,309.67 and 1,477.80 is: 2,228.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.80 : 2,309.67 = 1,477.80 : x
  2. Step 2: Convert to fraction form
    1,531.80/2,309.67 = 1,477.80/x
  3. Step 3: Cross multiply
    1,531.80x = 2,309.67 × 1,477.80
  4. Step 4: Simplify right side
    1,531.80x = 3,413,230.33
  5. Step 5: Solve for x
    x = 3,413,230.33/1,531.80
  6. Step 6: Final answer
    x = 2,228.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.