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Finding the Fourth Proportional to 2,974.34, 4,461.56 and 1,126.32

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Solution

The fourth proportional to 2,974.34, 4,461.56 and 1,126.32 is: 1,689.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.34 : 4,461.56 = 1,126.32 : x
  2. Step 2: Convert to fraction form
    2,974.34/4,461.56 = 1,126.32/x
  3. Step 3: Cross multiply
    2,974.34x = 4,461.56 × 1,126.32
  4. Step 4: Simplify right side
    2,974.34x = 5,025,157.55
  5. Step 5: Solve for x
    x = 5,025,157.55/2,974.34
  6. Step 6: Final answer
    x = 1,689.51

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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.