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Finding the Fourth Proportional to 1,300.56, 1,939.60 and 1,106.76

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Solution

The fourth proportional to 1,300.56, 1,939.60 and 1,106.76 is: 1,650.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.56 : 1,939.60 = 1,106.76 : x
  2. Step 2: Convert to fraction form
    1,300.56/1,939.60 = 1,106.76/x
  3. Step 3: Cross multiply
    1,300.56x = 1,939.60 × 1,106.76
  4. Step 4: Simplify right side
    1,300.56x = 2,146,671.70
  5. Step 5: Solve for x
    x = 2,146,671.70/1,300.56
  6. Step 6: Final answer
    x = 1,650.57

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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.