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Finding the Fourth Proportional to 2,807.50, 4,201.38 and 2,065.45

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Solution

The fourth proportional to 2,807.50, 4,201.38 and 2,065.45 is: 3,090.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.50 : 4,201.38 = 2,065.45 : x
  2. Step 2: Convert to fraction form
    2,807.50/4,201.38 = 2,065.45/x
  3. Step 3: Cross multiply
    2,807.50x = 4,201.38 × 2,065.45
  4. Step 4: Simplify right side
    2,807.50x = 8,677,740.32
  5. Step 5: Solve for x
    x = 8,677,740.32/2,807.50
  6. Step 6: Final answer
    x = 3,090.91

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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.