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Finding the Fourth Proportional to 3,420.77, 4,720.38 and 1,929.05

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Solution

The fourth proportional to 3,420.77, 4,720.38 and 1,929.05 is: 2,661.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.77 : 4,720.38 = 1,929.05 : x
  2. Step 2: Convert to fraction form
    3,420.77/4,720.38 = 1,929.05/x
  3. Step 3: Cross multiply
    3,420.77x = 4,720.38 × 1,929.05
  4. Step 4: Simplify right side
    3,420.77x = 9,105,849.04
  5. Step 5: Solve for x
    x = 9,105,849.04/3,420.77
  6. Step 6: Final answer
    x = 2,661.93

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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.