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Finding the Fourth Proportional to 2,153.46, 3,228.93 and 1,541.10

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Solution

The fourth proportional to 2,153.46, 3,228.93 and 1,541.10 is: 2,310.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.46 : 3,228.93 = 1,541.10 : x
  2. Step 2: Convert to fraction form
    2,153.46/3,228.93 = 1,541.10/x
  3. Step 3: Cross multiply
    2,153.46x = 3,228.93 × 1,541.10
  4. Step 4: Simplify right side
    2,153.46x = 4,976,104.02
  5. Step 5: Solve for x
    x = 4,976,104.02/2,153.46
  6. Step 6: Final answer
    x = 2,310.75

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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.