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Finding the Fourth Proportional to 2,287.46, 3,157.90 and 1,491.50

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Solution

The fourth proportional to 2,287.46, 3,157.90 and 1,491.50 is: 2,059.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.46 : 3,157.90 = 1,491.50 : x
  2. Step 2: Convert to fraction form
    2,287.46/3,157.90 = 1,491.50/x
  3. Step 3: Cross multiply
    2,287.46x = 3,157.90 × 1,491.50
  4. Step 4: Simplify right side
    2,287.46x = 4,710,007.85
  5. Step 5: Solve for x
    x = 4,710,007.85/2,287.46
  6. Step 6: Final answer
    x = 2,059.06

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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.