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Finding the Fourth Proportional to 2,807.51, 4,211.29 and 1,346.33

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Solution

The fourth proportional to 2,807.51, 4,211.29 and 1,346.33 is: 2,019.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.51 : 4,211.29 = 1,346.33 : x
  2. Step 2: Convert to fraction form
    2,807.51/4,211.29 = 1,346.33/x
  3. Step 3: Cross multiply
    2,807.51x = 4,211.29 × 1,346.33
  4. Step 4: Simplify right side
    2,807.51x = 5,669,798.28
  5. Step 5: Solve for x
    x = 5,669,798.28/2,807.51
  6. Step 6: Final answer
    x = 2,019.51

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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.