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Finding the Fourth Proportional to 2,880.90, 4,317.96 and 1,649.16

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Solution

The fourth proportional to 2,880.90, 4,317.96 and 1,649.16 is: 2,471.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880.90 : 4,317.96 = 1,649.16 : x
  2. Step 2: Convert to fraction form
    2,880.90/4,317.96 = 1,649.16/x
  3. Step 3: Cross multiply
    2,880.90x = 4,317.96 × 1,649.16
  4. Step 4: Simplify right side
    2,880.90x = 7,121,006.91
  5. Step 5: Solve for x
    x = 7,121,006.91/2,880.90
  6. Step 6: Final answer
    x = 2,471.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.