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Finding the Fourth Proportional to 2,977.46, 4,466.24 and 1,029.71

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Solution

The fourth proportional to 2,977.46, 4,466.24 and 1,029.71 is: 1,544.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.46 : 4,466.24 = 1,029.71 : x
  2. Step 2: Convert to fraction form
    2,977.46/4,466.24 = 1,029.71/x
  3. Step 3: Cross multiply
    2,977.46x = 4,466.24 × 1,029.71
  4. Step 4: Simplify right side
    2,977.46x = 4,598,941.87
  5. Step 5: Solve for x
    x = 4,598,941.87/2,977.46
  6. Step 6: Final answer
    x = 1,544.59

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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.