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Finding the Fourth Proportional to 4,312.64, 6,467.68 and 1,576

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Solution

The fourth proportional to 4,312.64, 6,467.68 and 1,576 is: 2,363.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,312.64 : 6,467.68 = 1,576 : x
  2. Step 2: Convert to fraction form
    4,312.64/6,467.68 = 1,576/x
  3. Step 3: Cross multiply
    4,312.64x = 6,467.68 × 1,576
  4. Step 4: Simplify right side
    4,312.64x = 10,193,063.68
  5. Step 5: Solve for x
    x = 10,193,063.68/4,312.64
  6. Step 6: Final answer
    x = 2,363.53

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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.