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Finding the Fourth Proportional to 2,324.94, 3,208.32 and 1,276.98

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Solution

The fourth proportional to 2,324.94, 3,208.32 and 1,276.98 is: 1,762.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.94 : 3,208.32 = 1,276.98 : x
  2. Step 2: Convert to fraction form
    2,324.94/3,208.32 = 1,276.98/x
  3. Step 3: Cross multiply
    2,324.94x = 3,208.32 × 1,276.98
  4. Step 4: Simplify right side
    2,324.94x = 4,096,960.47
  5. Step 5: Solve for x
    x = 4,096,960.47/2,324.94
  6. Step 6: Final answer
    x = 1,762.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.