Home / 2,065-2,849.76-1,133.56

Finding the Fourth Proportional to 2,065, 2,849.76 and 1,133.56

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Solution

The fourth proportional to 2,065, 2,849.76 and 1,133.56 is: 1,564.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065 : 2,849.76 = 1,133.56 : x
  2. Step 2: Convert to fraction form
    2,065/2,849.76 = 1,133.56/x
  3. Step 3: Cross multiply
    2,065x = 2,849.76 × 1,133.56
  4. Step 4: Simplify right side
    2,065x = 3,230,373.95
  5. Step 5: Solve for x
    x = 3,230,373.95/2,065
  6. Step 6: Final answer
    x = 1,564.35

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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.