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Finding the Fourth Proportional to 3,801.51, 5,698.62 and 1,202.67

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Solution

The fourth proportional to 3,801.51, 5,698.62 and 1,202.67 is: 1,802.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.51 : 5,698.62 = 1,202.67 : x
  2. Step 2: Convert to fraction form
    3,801.51/5,698.62 = 1,202.67/x
  3. Step 3: Cross multiply
    3,801.51x = 5,698.62 × 1,202.67
  4. Step 4: Simplify right side
    3,801.51x = 6,853,559.32
  5. Step 5: Solve for x
    x = 6,853,559.32/3,801.51
  6. Step 6: Final answer
    x = 1,802.85

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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.