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Finding the Fourth Proportional to 2,291.41, 3,435.72 and 730.74

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Solution

The fourth proportional to 2,291.41, 3,435.72 and 730.74 is: 1,095.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.41 : 3,435.72 = 730.74 : x
  2. Step 2: Convert to fraction form
    2,291.41/3,435.72 = 730.74/x
  3. Step 3: Cross multiply
    2,291.41x = 3,435.72 × 730.74
  4. Step 4: Simplify right side
    2,291.41x = 2,510,618.03
  5. Step 5: Solve for x
    x = 2,510,618.03/2,291.41
  6. Step 6: Final answer
    x = 1,095.67

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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.