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Finding the Fourth Proportional to 2,471.10, 3,409.11 and 1,526.22

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Solution

The fourth proportional to 2,471.10, 3,409.11 and 1,526.22 is: 2,105.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.10 : 3,409.11 = 1,526.22 : x
  2. Step 2: Convert to fraction form
    2,471.10/3,409.11 = 1,526.22/x
  3. Step 3: Cross multiply
    2,471.10x = 3,409.11 × 1,526.22
  4. Step 4: Simplify right side
    2,471.10x = 5,203,051.86
  5. Step 5: Solve for x
    x = 5,203,051.86/2,471.10
  6. Step 6: Final answer
    x = 2,105.56

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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.