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Finding the Fourth Proportional to 2,302.89, 3,447 and 1,835.40

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Solution

The fourth proportional to 2,302.89, 3,447 and 1,835.40 is: 2,747.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.89 : 3,447 = 1,835.40 : x
  2. Step 2: Convert to fraction form
    2,302.89/3,447 = 1,835.40/x
  3. Step 3: Cross multiply
    2,302.89x = 3,447 × 1,835.40
  4. Step 4: Simplify right side
    2,302.89x = 6,326,623.80
  5. Step 5: Solve for x
    x = 6,326,623.80/2,302.89
  6. Step 6: Final answer
    x = 2,747.25

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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.