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Finding the Fourth Proportional to 2,225.61, 3,340.08 and 840.31

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Solution

The fourth proportional to 2,225.61, 3,340.08 and 840.31 is: 1,261.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.61 : 3,340.08 = 840.31 : x
  2. Step 2: Convert to fraction form
    2,225.61/3,340.08 = 840.31/x
  3. Step 3: Cross multiply
    2,225.61x = 3,340.08 × 840.31
  4. Step 4: Simplify right side
    2,225.61x = 2,806,702.62
  5. Step 5: Solve for x
    x = 2,806,702.62/2,225.61
  6. Step 6: Final answer
    x = 1,261.09

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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.