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Finding the Fourth Proportional to 2,309.37, 3,465.06 and 848.94

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Solution

The fourth proportional to 2,309.37, 3,465.06 and 848.94 is: 1,273.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.37 : 3,465.06 = 848.94 : x
  2. Step 2: Convert to fraction form
    2,309.37/3,465.06 = 848.94/x
  3. Step 3: Cross multiply
    2,309.37x = 3,465.06 × 848.94
  4. Step 4: Simplify right side
    2,309.37x = 2,941,628.04
  5. Step 5: Solve for x
    x = 2,941,628.04/2,309.37
  6. Step 6: Final answer
    x = 1,273.78

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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.