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Finding the Fourth Proportional to 1,636.70, 2,288.50 and 1,636.70

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Solution

The fourth proportional to 1,636.70, 2,288.50 and 1,636.70 is: 2,288.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.70 : 2,288.50 = 1,636.70 : x
  2. Step 2: Convert to fraction form
    1,636.70/2,288.50 = 1,636.70/x
  3. Step 3: Cross multiply
    1,636.70x = 2,288.50 × 1,636.70
  4. Step 4: Simplify right side
    1,636.70x = 3,745,587.95
  5. Step 5: Solve for x
    x = 3,745,587.95/1,636.70
  6. Step 6: Final answer
    x = 2,288.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.