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Finding the Fourth Proportional to 1,636.65, 2,454.84 and 466.74

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Solution

The fourth proportional to 1,636.65, 2,454.84 and 466.74 is: 700.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.65 : 2,454.84 = 466.74 : x
  2. Step 2: Convert to fraction form
    1,636.65/2,454.84 = 466.74/x
  3. Step 3: Cross multiply
    1,636.65x = 2,454.84 × 466.74
  4. Step 4: Simplify right side
    1,636.65x = 1,145,772.02
  5. Step 5: Solve for x
    x = 1,145,772.02/1,636.65
  6. Step 6: Final answer
    x = 700.07

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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.