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Finding the Fourth Proportional to 2,541.76, 3,807.27 and 2,101.93

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Solution

The fourth proportional to 2,541.76, 3,807.27 and 2,101.93 is: 3,148.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.76 : 3,807.27 = 2,101.93 : x
  2. Step 2: Convert to fraction form
    2,541.76/3,807.27 = 2,101.93/x
  3. Step 3: Cross multiply
    2,541.76x = 3,807.27 × 2,101.93
  4. Step 4: Simplify right side
    2,541.76x = 8,002,605.51
  5. Step 5: Solve for x
    x = 8,002,605.51/2,541.76
  6. Step 6: Final answer
    x = 3,148.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.