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Finding the Fourth Proportional to 2,309.37, 3,463.93 and 848.42

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Solution

The fourth proportional to 2,309.37, 3,463.93 and 848.42 is: 1,272.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.37 : 3,463.93 = 848.42 : x
  2. Step 2: Convert to fraction form
    2,309.37/3,463.93 = 848.42/x
  3. Step 3: Cross multiply
    2,309.37x = 3,463.93 × 848.42
  4. Step 4: Simplify right side
    2,309.37x = 2,938,867.49
  5. Step 5: Solve for x
    x = 2,938,867.49/2,309.37
  6. Step 6: Final answer
    x = 1,272.58

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1.5x scale

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.