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Finding the Fourth Proportional to 2,310.01, 3,462.93 and 848.80

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Solution

The fourth proportional to 2,310.01, 3,462.93 and 848.80 is: 1,272.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.01 : 3,462.93 = 848.80 : x
  2. Step 2: Convert to fraction form
    2,310.01/3,462.93 = 848.80/x
  3. Step 3: Cross multiply
    2,310.01x = 3,462.93 × 848.80
  4. Step 4: Simplify right side
    2,310.01x = 2,939,334.98
  5. Step 5: Solve for x
    x = 2,939,334.98/2,310.01
  6. Step 6: Final answer
    x = 1,272.43

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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.