Home / 2,053.08-3,077.46-1,386

Finding the Fourth Proportional to 2,053.08, 3,077.46 and 1,386

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Solution

The fourth proportional to 2,053.08, 3,077.46 and 1,386 is: 2,077.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.08 : 3,077.46 = 1,386 : x
  2. Step 2: Convert to fraction form
    2,053.08/3,077.46 = 1,386/x
  3. Step 3: Cross multiply
    2,053.08x = 3,077.46 × 1,386
  4. Step 4: Simplify right side
    2,053.08x = 4,265,359.56
  5. Step 5: Solve for x
    x = 4,265,359.56/2,053.08
  6. Step 6: Final answer
    x = 2,077.54

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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.