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Finding the Fourth Proportional to 2,977.76, 4,466.58 and 1,223.55

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Solution

The fourth proportional to 2,977.76, 4,466.58 and 1,223.55 is: 1,835.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.76 : 4,466.58 = 1,223.55 : x
  2. Step 2: Convert to fraction form
    2,977.76/4,466.58 = 1,223.55/x
  3. Step 3: Cross multiply
    2,977.76x = 4,466.58 × 1,223.55
  4. Step 4: Simplify right side
    2,977.76x = 5,465,083.96
  5. Step 5: Solve for x
    x = 5,465,083.96/2,977.76
  6. Step 6: Final answer
    x = 1,835.30

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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.