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Finding the Fourth Proportional to 3,089.01, 4,633.97 and 897.45

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Solution

The fourth proportional to 3,089.01, 4,633.97 and 897.45 is: 1,346.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.01 : 4,633.97 = 897.45 : x
  2. Step 2: Convert to fraction form
    3,089.01/4,633.97 = 897.45/x
  3. Step 3: Cross multiply
    3,089.01x = 4,633.97 × 897.45
  4. Step 4: Simplify right side
    3,089.01x = 4,158,767.96
  5. Step 5: Solve for x
    x = 4,158,767.96/3,089.01
  6. Step 6: Final answer
    x = 1,346.31

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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.