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Finding the Fourth Proportional to 2,427.64, 3,347.82 and 1,541.86

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Solution

The fourth proportional to 2,427.64, 3,347.82 and 1,541.86 is: 2,126.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.64 : 3,347.82 = 1,541.86 : x
  2. Step 2: Convert to fraction form
    2,427.64/3,347.82 = 1,541.86/x
  3. Step 3: Cross multiply
    2,427.64x = 3,347.82 × 1,541.86
  4. Step 4: Simplify right side
    2,427.64x = 5,161,869.75
  5. Step 5: Solve for x
    x = 5,161,869.75/2,427.64
  6. Step 6: Final answer
    x = 2,126.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.