Home / 2,049.81-3,077.14-2,041.71

Finding the Fourth Proportional to 2,049.81, 3,077.14 and 2,041.71

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Solution

The fourth proportional to 2,049.81, 3,077.14 and 2,041.71 is: 3,064.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.81 : 3,077.14 = 2,041.71 : x
  2. Step 2: Convert to fraction form
    2,049.81/3,077.14 = 2,041.71/x
  3. Step 3: Cross multiply
    2,049.81x = 3,077.14 × 2,041.71
  4. Step 4: Simplify right side
    2,049.81x = 6,282,627.51
  5. Step 5: Solve for x
    x = 6,282,627.51/2,049.81
  6. Step 6: Final answer
    x = 3,064.98

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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.