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Finding the Fourth Proportional to 2,227.30, 3,341.31 and 840.58

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Solution

The fourth proportional to 2,227.30, 3,341.31 and 840.58 is: 1,261.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.30 : 3,341.31 = 840.58 : x
  2. Step 2: Convert to fraction form
    2,227.30/3,341.31 = 840.58/x
  3. Step 3: Cross multiply
    2,227.30x = 3,341.31 × 840.58
  4. Step 4: Simplify right side
    2,227.30x = 2,808,638.36
  5. Step 5: Solve for x
    x = 2,808,638.36/2,227.30
  6. Step 6: Final answer
    x = 1,261.01

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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.