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Finding the Fourth Proportional to 2,472.54, 3,409.38 and 1,764.06

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Solution

The fourth proportional to 2,472.54, 3,409.38 and 1,764.06 is: 2,432.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.54 : 3,409.38 = 1,764.06 : x
  2. Step 2: Convert to fraction form
    2,472.54/3,409.38 = 1,764.06/x
  3. Step 3: Cross multiply
    2,472.54x = 3,409.38 × 1,764.06
  4. Step 4: Simplify right side
    2,472.54x = 6,014,350.88
  5. Step 5: Solve for x
    x = 6,014,350.88/2,472.54
  6. Step 6: Final answer
    x = 2,432.46

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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.