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Finding the Fourth Proportional to 2,327.65, 3,491.47 and 684.20

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Solution

The fourth proportional to 2,327.65, 3,491.47 and 684.20 is: 1,026.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.65 : 3,491.47 = 684.20 : x
  2. Step 2: Convert to fraction form
    2,327.65/3,491.47 = 684.20/x
  3. Step 3: Cross multiply
    2,327.65x = 3,491.47 × 684.20
  4. Step 4: Simplify right side
    2,327.65x = 2,388,863.77
  5. Step 5: Solve for x
    x = 2,388,863.77/2,327.65
  6. Step 6: Final answer
    x = 1,026.30

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1.5x scale

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.