Home / 2,709.14-3,738-1,529.96

Finding the Fourth Proportional to 2,709.14, 3,738 and 1,529.96

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Solution

The fourth proportional to 2,709.14, 3,738 and 1,529.96 is: 2,111.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.14 : 3,738 = 1,529.96 : x
  2. Step 2: Convert to fraction form
    2,709.14/3,738 = 1,529.96/x
  3. Step 3: Cross multiply
    2,709.14x = 3,738 × 1,529.96
  4. Step 4: Simplify right side
    2,709.14x = 5,718,990.48
  5. Step 5: Solve for x
    x = 5,718,990.48/2,709.14
  6. Step 6: Final answer
    x = 2,111.00

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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.