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Finding the Fourth Proportional to 2,800.36, 4,201.50 and 1,240.15

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Solution

The fourth proportional to 2,800.36, 4,201.50 and 1,240.15 is: 1,860.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.36 : 4,201.50 = 1,240.15 : x
  2. Step 2: Convert to fraction form
    2,800.36/4,201.50 = 1,240.15/x
  3. Step 3: Cross multiply
    2,800.36x = 4,201.50 × 1,240.15
  4. Step 4: Simplify right side
    2,800.36x = 5,210,490.23
  5. Step 5: Solve for x
    x = 5,210,490.23/2,800.36
  6. Step 6: Final answer
    x = 1,860.65

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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.