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Finding the Fourth Proportional to 2,802.86, 4,204.29 and 1,157.60

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Solution

The fourth proportional to 2,802.86, 4,204.29 and 1,157.60 is: 1,736.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.86 : 4,204.29 = 1,157.60 : x
  2. Step 2: Convert to fraction form
    2,802.86/4,204.29 = 1,157.60/x
  3. Step 3: Cross multiply
    2,802.86x = 4,204.29 × 1,157.60
  4. Step 4: Simplify right side
    2,802.86x = 4,866,859.29
  5. Step 5: Solve for x
    x = 4,866,859.29/2,802.86
  6. Step 6: Final answer
    x = 1,736.39

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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.