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Finding the Fourth Proportional to 2,289.72, 3,435.58 and 2,191.32

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Solution

The fourth proportional to 2,289.72, 3,435.58 and 2,191.32 is: 3,287.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.72 : 3,435.58 = 2,191.32 : x
  2. Step 2: Convert to fraction form
    2,289.72/3,435.58 = 2,191.32/x
  3. Step 3: Cross multiply
    2,289.72x = 3,435.58 × 2,191.32
  4. Step 4: Simplify right side
    2,289.72x = 7,528,455.17
  5. Step 5: Solve for x
    x = 7,528,455.17/2,289.72
  6. Step 6: Final answer
    x = 3,287.94

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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.