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Finding the Fourth Proportional to 1,374.56, 2,063.76 and 1,099.77

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Solution

The fourth proportional to 1,374.56, 2,063.76 and 1,099.77 is: 1,651.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.56 : 2,063.76 = 1,099.77 : x
  2. Step 2: Convert to fraction form
    1,374.56/2,063.76 = 1,099.77/x
  3. Step 3: Cross multiply
    1,374.56x = 2,063.76 × 1,099.77
  4. Step 4: Simplify right side
    1,374.56x = 2,269,661.34
  5. Step 5: Solve for x
    x = 2,269,661.34/1,374.56
  6. Step 6: Final answer
    x = 1,651.19

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Why These Related Problems?

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