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Finding the Fourth Proportional to 3,290.54, 4,932.16 and 1,417.41

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Solution

The fourth proportional to 3,290.54, 4,932.16 and 1,417.41 is: 2,124.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.54 : 4,932.16 = 1,417.41 : x
  2. Step 2: Convert to fraction form
    3,290.54/4,932.16 = 1,417.41/x
  3. Step 3: Cross multiply
    3,290.54x = 4,932.16 × 1,417.41
  4. Step 4: Simplify right side
    3,290.54x = 6,990,889.36
  5. Step 5: Solve for x
    x = 6,990,889.36/3,290.54
  6. Step 6: Final answer
    x = 2,124.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.