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Finding the Fourth Proportional to 2,323.57, 3,477.83 and 1,491.15

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Solution

The fourth proportional to 2,323.57, 3,477.83 and 1,491.15 is: 2,231.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.57 : 3,477.83 = 1,491.15 : x
  2. Step 2: Convert to fraction form
    2,323.57/3,477.83 = 1,491.15/x
  3. Step 3: Cross multiply
    2,323.57x = 3,477.83 × 1,491.15
  4. Step 4: Simplify right side
    2,323.57x = 5,185,966.20
  5. Step 5: Solve for x
    x = 5,185,966.20/2,323.57
  6. Step 6: Final answer
    x = 2,231.90

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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.