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Finding the Fourth Proportional to 3,421.68, 4,721.94 and 1,929.45

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Solution

The fourth proportional to 3,421.68, 4,721.94 and 1,929.45 is: 2,662.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.68 : 4,721.94 = 1,929.45 : x
  2. Step 2: Convert to fraction form
    3,421.68/4,721.94 = 1,929.45/x
  3. Step 3: Cross multiply
    3,421.68x = 4,721.94 × 1,929.45
  4. Step 4: Simplify right side
    3,421.68x = 9,110,747.13
  5. Step 5: Solve for x
    x = 9,110,747.13/3,421.68
  6. Step 6: Final answer
    x = 2,662.65

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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.