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Finding the Fourth Proportional to 1,531.45, 2,285.42 and 1,367.42

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Solution

The fourth proportional to 1,531.45, 2,285.42 and 1,367.42 is: 2,040.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.45 : 2,285.42 = 1,367.42 : x
  2. Step 2: Convert to fraction form
    1,531.45/2,285.42 = 1,367.42/x
  3. Step 3: Cross multiply
    1,531.45x = 2,285.42 × 1,367.42
  4. Step 4: Simplify right side
    1,531.45x = 3,125,129.02
  5. Step 5: Solve for x
    x = 3,125,129.02/1,531.45
  6. Step 6: Final answer
    x = 2,040.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.