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Finding the Fourth Proportional to 2,977.80, 4,466.22 and 1,003.24

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Solution

The fourth proportional to 2,977.80, 4,466.22 and 1,003.24 is: 1,504.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.80 : 4,466.22 = 1,003.24 : x
  2. Step 2: Convert to fraction form
    2,977.80/4,466.22 = 1,003.24/x
  3. Step 3: Cross multiply
    2,977.80x = 4,466.22 × 1,003.24
  4. Step 4: Simplify right side
    2,977.80x = 4,480,690.55
  5. Step 5: Solve for x
    x = 4,480,690.55/2,977.80
  6. Step 6: Final answer
    x = 1,504.70

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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.