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Finding the Fourth Proportional to 4,506.30, 6,758.64 and 1,219.64

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Solution

The fourth proportional to 4,506.30, 6,758.64 and 1,219.64 is: 1,829.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506.30 : 6,758.64 = 1,219.64 : x
  2. Step 2: Convert to fraction form
    4,506.30/6,758.64 = 1,219.64/x
  3. Step 3: Cross multiply
    4,506.30x = 6,758.64 × 1,219.64
  4. Step 4: Simplify right side
    4,506.30x = 8,243,073.90
  5. Step 5: Solve for x
    x = 8,243,073.90/4,506.30
  6. Step 6: Final answer
    x = 1,829.23

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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.