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Finding the Fourth Proportional to 3,460.87, 4,770.42 and 2,341.41

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Solution

The fourth proportional to 3,460.87, 4,770.42 and 2,341.41 is: 3,227.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.87 : 4,770.42 = 2,341.41 : x
  2. Step 2: Convert to fraction form
    3,460.87/4,770.42 = 2,341.41/x
  3. Step 3: Cross multiply
    3,460.87x = 4,770.42 × 2,341.41
  4. Step 4: Simplify right side
    3,460.87x = 11,169,509.09
  5. Step 5: Solve for x
    x = 11,169,509.09/3,460.87
  6. Step 6: Final answer
    x = 3,227.37

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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.