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Finding the Fourth Proportional to 2,309.23, 3,465.36 and 848.39

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Solution

The fourth proportional to 2,309.23, 3,465.36 and 848.39 is: 1,273.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.23 : 3,465.36 = 848.39 : x
  2. Step 2: Convert to fraction form
    2,309.23/3,465.36 = 848.39/x
  3. Step 3: Cross multiply
    2,309.23x = 3,465.36 × 848.39
  4. Step 4: Simplify right side
    2,309.23x = 2,939,985.43
  5. Step 5: Solve for x
    x = 2,939,985.43/2,309.23
  6. Step 6: Final answer
    x = 1,273.15

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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.