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Finding the Fourth Proportional to 2,701.76, 3,729.64 and 2,004.34

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Solution

The fourth proportional to 2,701.76, 3,729.64 and 2,004.34 is: 2,766.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.76 : 3,729.64 = 2,004.34 : x
  2. Step 2: Convert to fraction form
    2,701.76/3,729.64 = 2,004.34/x
  3. Step 3: Cross multiply
    2,701.76x = 3,729.64 × 2,004.34
  4. Step 4: Simplify right side
    2,701.76x = 7,475,466.64
  5. Step 5: Solve for x
    x = 7,475,466.64/2,701.76
  6. Step 6: Final answer
    x = 2,766.89

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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.