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Finding the Fourth Proportional to 3,041.90, 4,196.01 and 1,920.86

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Solution

The fourth proportional to 3,041.90, 4,196.01 and 1,920.86 is: 2,649.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.90 : 4,196.01 = 1,920.86 : x
  2. Step 2: Convert to fraction form
    3,041.90/4,196.01 = 1,920.86/x
  3. Step 3: Cross multiply
    3,041.90x = 4,196.01 × 1,920.86
  4. Step 4: Simplify right side
    3,041.90x = 8,059,947.77
  5. Step 5: Solve for x
    x = 8,059,947.77/3,041.90
  6. Step 6: Final answer
    x = 2,649.64

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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.