Home / 2,038.86-2,813.39-1,142.65

Finding the Fourth Proportional to 2,038.86, 2,813.39 and 1,142.65

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Solution

The fourth proportional to 2,038.86, 2,813.39 and 1,142.65 is: 1,576.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.86 : 2,813.39 = 1,142.65 : x
  2. Step 2: Convert to fraction form
    2,038.86/2,813.39 = 1,142.65/x
  3. Step 3: Cross multiply
    2,038.86x = 2,813.39 × 1,142.65
  4. Step 4: Simplify right side
    2,038.86x = 3,214,720.08
  5. Step 5: Solve for x
    x = 3,214,720.08/2,038.86
  6. Step 6: Final answer
    x = 1,576.72

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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.