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Finding the Fourth Proportional to 2,309.41, 3,462.06 and 848.22

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Solution

The fourth proportional to 2,309.41, 3,462.06 and 848.22 is: 1,271.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.41 : 3,462.06 = 848.22 : x
  2. Step 2: Convert to fraction form
    2,309.41/3,462.06 = 848.22/x
  3. Step 3: Cross multiply
    2,309.41x = 3,462.06 × 848.22
  4. Step 4: Simplify right side
    2,309.41x = 2,936,585.35
  5. Step 5: Solve for x
    x = 2,936,585.35/2,309.41
  6. Step 6: Final answer
    x = 1,271.57

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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.