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Finding the Fourth Proportional to 3,421.70, 4,721.83 and 1,929.59

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Solution

The fourth proportional to 3,421.70, 4,721.83 and 1,929.59 is: 2,662.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.70 : 4,721.83 = 1,929.59 : x
  2. Step 2: Convert to fraction form
    3,421.70/4,721.83 = 1,929.59/x
  3. Step 3: Cross multiply
    3,421.70x = 4,721.83 × 1,929.59
  4. Step 4: Simplify right side
    3,421.70x = 9,111,195.95
  5. Step 5: Solve for x
    x = 9,111,195.95/3,421.70
  6. Step 6: Final answer
    x = 2,662.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.