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Finding the Fourth Proportional to 2,800.42, 3,864.58 and 1,541.48

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Solution

The fourth proportional to 2,800.42, 3,864.58 and 1,541.48 is: 2,127.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.42 : 3,864.58 = 1,541.48 : x
  2. Step 2: Convert to fraction form
    2,800.42/3,864.58 = 1,541.48/x
  3. Step 3: Cross multiply
    2,800.42x = 3,864.58 × 1,541.48
  4. Step 4: Simplify right side
    2,800.42x = 5,957,172.78
  5. Step 5: Solve for x
    x = 5,957,172.78/2,800.42
  6. Step 6: Final answer
    x = 2,127.24

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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.