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Finding the Fourth Proportional to 2,290.74, 3,437.18 and 1,194.52

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Solution

The fourth proportional to 2,290.74, 3,437.18 and 1,194.52 is: 1,792.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.74 : 3,437.18 = 1,194.52 : x
  2. Step 2: Convert to fraction form
    2,290.74/3,437.18 = 1,194.52/x
  3. Step 3: Cross multiply
    2,290.74x = 3,437.18 × 1,194.52
  4. Step 4: Simplify right side
    2,290.74x = 4,105,780.25
  5. Step 5: Solve for x
    x = 4,105,780.25/2,290.74
  6. Step 6: Final answer
    x = 1,792.34

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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.