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Finding the Fourth Proportional to 2,309.67, 3,465.90 and 848.70

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Solution

The fourth proportional to 2,309.67, 3,465.90 and 848.70 is: 1,273.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.67 : 3,465.90 = 848.70 : x
  2. Step 2: Convert to fraction form
    2,309.67/3,465.90 = 848.70/x
  3. Step 3: Cross multiply
    2,309.67x = 3,465.90 × 848.70
  4. Step 4: Simplify right side
    2,309.67x = 2,941,509.33
  5. Step 5: Solve for x
    x = 2,941,509.33/2,309.67
  6. Step 6: Final answer
    x = 1,273.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.