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Finding the Fourth Proportional to 2,310.47, 3,460.80 and 2,145.23

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Solution

The fourth proportional to 2,310.47, 3,460.80 and 2,145.23 is: 3,213.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.47 : 3,460.80 = 2,145.23 : x
  2. Step 2: Convert to fraction form
    2,310.47/3,460.80 = 2,145.23/x
  3. Step 3: Cross multiply
    2,310.47x = 3,460.80 × 2,145.23
  4. Step 4: Simplify right side
    2,310.47x = 7,424,211.98
  5. Step 5: Solve for x
    x = 7,424,211.98/2,310.47
  6. Step 6: Final answer
    x = 3,213.29

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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.