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Finding the Fourth Proportional to 2,738.51, 3,778.93 and 1,559.34

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Solution

The fourth proportional to 2,738.51, 3,778.93 and 1,559.34 is: 2,151.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.51 : 3,778.93 = 1,559.34 : x
  2. Step 2: Convert to fraction form
    2,738.51/3,778.93 = 1,559.34/x
  3. Step 3: Cross multiply
    2,738.51x = 3,778.93 × 1,559.34
  4. Step 4: Simplify right side
    2,738.51x = 5,892,632.81
  5. Step 5: Solve for x
    x = 5,892,632.81/2,738.51
  6. Step 6: Final answer
    x = 2,151.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.