Home / 2,050-2,829.08-1,165.96

Finding the Fourth Proportional to 2,050, 2,829.08 and 1,165.96

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Solution

The fourth proportional to 2,050, 2,829.08 and 1,165.96 is: 1,609.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050 : 2,829.08 = 1,165.96 : x
  2. Step 2: Convert to fraction form
    2,050/2,829.08 = 1,165.96/x
  3. Step 3: Cross multiply
    2,050x = 2,829.08 × 1,165.96
  4. Step 4: Simplify right side
    2,050x = 3,298,594.12
  5. Step 5: Solve for x
    x = 3,298,594.12/2,050
  6. Step 6: Final answer
    x = 1,609.07

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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.