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Finding the Fourth Proportional to 3,409.68, 4,703.76 and 2,414.64

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Solution

The fourth proportional to 3,409.68, 4,703.76 and 2,414.64 is: 3,331.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.68 : 4,703.76 = 2,414.64 : x
  2. Step 2: Convert to fraction form
    3,409.68/4,703.76 = 2,414.64/x
  3. Step 3: Cross multiply
    3,409.68x = 4,703.76 × 2,414.64
  4. Step 4: Simplify right side
    3,409.68x = 11,357,887.05
  5. Step 5: Solve for x
    x = 11,357,887.05/3,409.68
  6. Step 6: Final answer
    x = 3,331.07

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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.