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Finding the Fourth Proportional to 2,290.34, 3,160.72 and 1,405.82

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Solution

The fourth proportional to 2,290.34, 3,160.72 and 1,405.82 is: 1,940.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.34 : 3,160.72 = 1,405.82 : x
  2. Step 2: Convert to fraction form
    2,290.34/3,160.72 = 1,405.82/x
  3. Step 3: Cross multiply
    2,290.34x = 3,160.72 × 1,405.82
  4. Step 4: Simplify right side
    2,290.34x = 4,443,413.05
  5. Step 5: Solve for x
    x = 4,443,413.05/2,290.34
  6. Step 6: Final answer
    x = 1,940.06

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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.