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Finding the Fourth Proportional to 3,412.82, 4,709.63 and 1,920.74

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Solution

The fourth proportional to 3,412.82, 4,709.63 and 1,920.74 is: 2,650.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.82 : 4,709.63 = 1,920.74 : x
  2. Step 2: Convert to fraction form
    3,412.82/4,709.63 = 1,920.74/x
  3. Step 3: Cross multiply
    3,412.82x = 4,709.63 × 1,920.74
  4. Step 4: Simplify right side
    3,412.82x = 9,045,941.57
  5. Step 5: Solve for x
    x = 9,045,941.57/3,412.82
  6. Step 6: Final answer
    x = 2,650.58

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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.