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Finding the Fourth Proportional to 2,802.68, 4,200.76 and 1,157.12

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Solution

The fourth proportional to 2,802.68, 4,200.76 and 1,157.12 is: 1,734.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.68 : 4,200.76 = 1,157.12 : x
  2. Step 2: Convert to fraction form
    2,802.68/4,200.76 = 1,157.12/x
  3. Step 3: Cross multiply
    2,802.68x = 4,200.76 × 1,157.12
  4. Step 4: Simplify right side
    2,802.68x = 4,860,783.41
  5. Step 5: Solve for x
    x = 4,860,783.41/2,802.68
  6. Step 6: Final answer
    x = 1,734.33

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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.