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Finding the Fourth Proportional to 3,034.34, 4,547.27 and 2,293.34

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Solution

The fourth proportional to 3,034.34, 4,547.27 and 2,293.34 is: 3,436.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.34 : 4,547.27 = 2,293.34 : x
  2. Step 2: Convert to fraction form
    3,034.34/4,547.27 = 2,293.34/x
  3. Step 3: Cross multiply
    3,034.34x = 4,547.27 × 2,293.34
  4. Step 4: Simplify right side
    3,034.34x = 10,428,413.45
  5. Step 5: Solve for x
    x = 10,428,413.45/3,034.34
  6. Step 6: Final answer
    x = 3,436.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.