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Finding the Fourth Proportional to 3,168.40, 4,752.96 and 977.68

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Solution

The fourth proportional to 3,168.40, 4,752.96 and 977.68 is: 1,466.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168.40 : 4,752.96 = 977.68 : x
  2. Step 2: Convert to fraction form
    3,168.40/4,752.96 = 977.68/x
  3. Step 3: Cross multiply
    3,168.40x = 4,752.96 × 977.68
  4. Step 4: Simplify right side
    3,168.40x = 4,646,845.28
  5. Step 5: Solve for x
    x = 4,646,845.28/3,168.40
  6. Step 6: Final answer
    x = 1,466.62

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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.