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Finding the Fourth Proportional to 4,689.02, 7,033.80 and 1,767.08

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Solution

The fourth proportional to 4,689.02, 7,033.80 and 1,767.08 is: 2,650.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.02 : 7,033.80 = 1,767.08 : x
  2. Step 2: Convert to fraction form
    4,689.02/7,033.80 = 1,767.08/x
  3. Step 3: Cross multiply
    4,689.02x = 7,033.80 × 1,767.08
  4. Step 4: Simplify right side
    4,689.02x = 12,429,287.30
  5. Step 5: Solve for x
    x = 12,429,287.30/4,689.02
  6. Step 6: Final answer
    x = 2,650.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.