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Finding the Fourth Proportional to 1,243.70, 1,856.49 and 1,106.40

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Solution

The fourth proportional to 1,243.70, 1,856.49 and 1,106.40 is: 1,651.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.70 : 1,856.49 = 1,106.40 : x
  2. Step 2: Convert to fraction form
    1,243.70/1,856.49 = 1,106.40/x
  3. Step 3: Cross multiply
    1,243.70x = 1,856.49 × 1,106.40
  4. Step 4: Simplify right side
    1,243.70x = 2,054,020.54
  5. Step 5: Solve for x
    x = 2,054,020.54/1,243.70
  6. Step 6: Final answer
    x = 1,651.54

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1.5x scale

Why These Related Problems?

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