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Finding the Fourth Proportional to 3,303.62, 4,953.69 and 1,744.46

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Solution

The fourth proportional to 3,303.62, 4,953.69 and 1,744.46 is: 2,615.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,303.62 : 4,953.69 = 1,744.46 : x
  2. Step 2: Convert to fraction form
    3,303.62/4,953.69 = 1,744.46/x
  3. Step 3: Cross multiply
    3,303.62x = 4,953.69 × 1,744.46
  4. Step 4: Simplify right side
    3,303.62x = 8,641,514.06
  5. Step 5: Solve for x
    x = 8,641,514.06/3,303.62
  6. Step 6: Final answer
    x = 2,615.77

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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.