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Finding the Fourth Proportional to 1,206.09, 1,800.93 and 1,137.65

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Solution

The fourth proportional to 1,206.09, 1,800.93 and 1,137.65 is: 1,698.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.09 : 1,800.93 = 1,137.65 : x
  2. Step 2: Convert to fraction form
    1,206.09/1,800.93 = 1,137.65/x
  3. Step 3: Cross multiply
    1,206.09x = 1,800.93 × 1,137.65
  4. Step 4: Simplify right side
    1,206.09x = 2,048,823.28
  5. Step 5: Solve for x
    x = 2,048,823.28/1,206.09
  6. Step 6: Final answer
    x = 1,698.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.