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Finding the Fourth Proportional to 2,798.05, 4,196.42 and 1,237.20

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Solution

The fourth proportional to 2,798.05, 4,196.42 and 1,237.20 is: 1,855.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.05 : 4,196.42 = 1,237.20 : x
  2. Step 2: Convert to fraction form
    2,798.05/4,196.42 = 1,237.20/x
  3. Step 3: Cross multiply
    2,798.05x = 4,196.42 × 1,237.20
  4. Step 4: Simplify right side
    2,798.05x = 5,191,804.64
  5. Step 5: Solve for x
    x = 5,191,804.64/2,798.05
  6. Step 6: Final answer
    x = 1,855.51

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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.