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Finding the Fourth Proportional to 3,471.34, 4,791 and 2,212.96

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Solution

The fourth proportional to 3,471.34, 4,791 and 2,212.96 is: 3,054.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.34 : 4,791 = 2,212.96 : x
  2. Step 2: Convert to fraction form
    3,471.34/4,791 = 2,212.96/x
  3. Step 3: Cross multiply
    3,471.34x = 4,791 × 2,212.96
  4. Step 4: Simplify right side
    3,471.34x = 10,602,291.36
  5. Step 5: Solve for x
    x = 10,602,291.36/3,471.34
  6. Step 6: Final answer
    x = 3,054.24

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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.