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Finding the Fourth Proportional to 2,666.78, 3,991.96 and 1,740.35

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Solution

The fourth proportional to 2,666.78, 3,991.96 and 1,740.35 is: 2,605.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.78 : 3,991.96 = 1,740.35 : x
  2. Step 2: Convert to fraction form
    2,666.78/3,991.96 = 1,740.35/x
  3. Step 3: Cross multiply
    2,666.78x = 3,991.96 × 1,740.35
  4. Step 4: Simplify right side
    2,666.78x = 6,947,383.28
  5. Step 5: Solve for x
    x = 6,947,383.28/2,666.78
  6. Step 6: Final answer
    x = 2,605.16

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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.