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Finding the Fourth Proportional to 3,089.59, 4,633.26 and 897.73

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Solution

The fourth proportional to 3,089.59, 4,633.26 and 897.73 is: 1,346.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.59 : 4,633.26 = 897.73 : x
  2. Step 2: Convert to fraction form
    3,089.59/4,633.26 = 897.73/x
  3. Step 3: Cross multiply
    3,089.59x = 4,633.26 × 897.73
  4. Step 4: Simplify right side
    3,089.59x = 4,159,416.50
  5. Step 5: Solve for x
    x = 4,159,416.50/3,089.59
  6. Step 6: Final answer
    x = 1,346.27

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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.