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Finding the Fourth Proportional to 3,021.66, 4,169.40 and 1,762.80

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Solution

The fourth proportional to 3,021.66, 4,169.40 and 1,762.80 is: 2,432.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.66 : 4,169.40 = 1,762.80 : x
  2. Step 2: Convert to fraction form
    3,021.66/4,169.40 = 1,762.80/x
  3. Step 3: Cross multiply
    3,021.66x = 4,169.40 × 1,762.80
  4. Step 4: Simplify right side
    3,021.66x = 7,349,818.32
  5. Step 5: Solve for x
    x = 7,349,818.32/3,021.66
  6. Step 6: Final answer
    x = 2,432.38

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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.