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Finding the Fourth Proportional to 3,178.90, 4,385.64 and 1,920.25

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Solution

The fourth proportional to 3,178.90, 4,385.64 and 1,920.25 is: 2,649.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.90 : 4,385.64 = 1,920.25 : x
  2. Step 2: Convert to fraction form
    3,178.90/4,385.64 = 1,920.25/x
  3. Step 3: Cross multiply
    3,178.90x = 4,385.64 × 1,920.25
  4. Step 4: Simplify right side
    3,178.90x = 8,421,525.21
  5. Step 5: Solve for x
    x = 8,421,525.21/3,178.90
  6. Step 6: Final answer
    x = 2,649.19

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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.