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Finding the Fourth Proportional to 1,927.89, 2,892.32 and 541.23

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Solution

The fourth proportional to 1,927.89, 2,892.32 and 541.23 is: 811.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.89 : 2,892.32 = 541.23 : x
  2. Step 2: Convert to fraction form
    1,927.89/2,892.32 = 541.23/x
  3. Step 3: Cross multiply
    1,927.89x = 2,892.32 × 541.23
  4. Step 4: Simplify right side
    1,927.89x = 1,565,410.35
  5. Step 5: Solve for x
    x = 1,565,410.35/1,927.89
  6. Step 6: Final answer
    x = 811.98

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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.