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Finding the Fourth Proportional to 1,237.72, 1,856.52 and 1,206.70

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Solution

The fourth proportional to 1,237.72, 1,856.52 and 1,206.70 is: 1,809.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.72 : 1,856.52 = 1,206.70 : x
  2. Step 2: Convert to fraction form
    1,237.72/1,856.52 = 1,206.70/x
  3. Step 3: Cross multiply
    1,237.72x = 1,856.52 × 1,206.70
  4. Step 4: Simplify right side
    1,237.72x = 2,240,262.68
  5. Step 5: Solve for x
    x = 2,240,262.68/1,237.72
  6. Step 6: Final answer
    x = 1,809.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.