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Finding the Fourth Proportional to 3,166.01, 4,751.91 and 1,607.09

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Solution

The fourth proportional to 3,166.01, 4,751.91 and 1,607.09 is: 2,412.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.01 : 4,751.91 = 1,607.09 : x
  2. Step 2: Convert to fraction form
    3,166.01/4,751.91 = 1,607.09/x
  3. Step 3: Cross multiply
    3,166.01x = 4,751.91 × 1,607.09
  4. Step 4: Simplify right side
    3,166.01x = 7,636,723.28
  5. Step 5: Solve for x
    x = 7,636,723.28/3,166.01
  6. Step 6: Final answer
    x = 2,412.10

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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.