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Finding the Fourth Proportional to 3,317.44, 4,577.76 and 1,920.16

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Solution

The fourth proportional to 3,317.44, 4,577.76 and 1,920.16 is: 2,649.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,317.44 : 4,577.76 = 1,920.16 : x
  2. Step 2: Convert to fraction form
    3,317.44/4,577.76 = 1,920.16/x
  3. Step 3: Cross multiply
    3,317.44x = 4,577.76 × 1,920.16
  4. Step 4: Simplify right side
    3,317.44x = 8,790,031.64
  5. Step 5: Solve for x
    x = 8,790,031.64/3,317.44
  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.