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Finding the Fourth Proportional to 1,802.30, 2,697.64 and 968.20

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Solution

The fourth proportional to 1,802.30, 2,697.64 and 968.20 is: 1,449.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.30 : 2,697.64 = 968.20 : x
  2. Step 2: Convert to fraction form
    1,802.30/2,697.64 = 968.20/x
  3. Step 3: Cross multiply
    1,802.30x = 2,697.64 × 968.20
  4. Step 4: Simplify right side
    1,802.30x = 2,611,845.88
  5. Step 5: Solve for x
    x = 2,611,845.88/1,802.30
  6. Step 6: Final answer
    x = 1,449.18

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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.