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Finding the Fourth Proportional to 3,166.84, 4,370.33 and 1,769.59

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Solution

The fourth proportional to 3,166.84, 4,370.33 and 1,769.59 is: 2,442.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.84 : 4,370.33 = 1,769.59 : x
  2. Step 2: Convert to fraction form
    3,166.84/4,370.33 = 1,769.59/x
  3. Step 3: Cross multiply
    3,166.84x = 4,370.33 × 1,769.59
  4. Step 4: Simplify right side
    3,166.84x = 7,733,661.57
  5. Step 5: Solve for x
    x = 7,733,661.57/3,166.84
  6. Step 6: Final answer
    x = 2,442.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.