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Finding the Fourth Proportional to 2,977.60, 4,466.40 and 2,761.60

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Solution

The fourth proportional to 2,977.60, 4,466.40 and 2,761.60 is: 4,142.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.60 : 4,466.40 = 2,761.60 : x
  2. Step 2: Convert to fraction form
    2,977.60/4,466.40 = 2,761.60/x
  3. Step 3: Cross multiply
    2,977.60x = 4,466.40 × 2,761.60
  4. Step 4: Simplify right side
    2,977.60x = 12,334,410.24
  5. Step 5: Solve for x
    x = 12,334,410.24/2,977.60
  6. Step 6: Final answer
    x = 4,142.40

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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.