Home / 2,048.85-2,827.40-1,164.65

Finding the Fourth Proportional to 2,048.85, 2,827.40 and 1,164.65

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Solution

The fourth proportional to 2,048.85, 2,827.40 and 1,164.65 is: 1,607.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.85 : 2,827.40 = 1,164.65 : x
  2. Step 2: Convert to fraction form
    2,048.85/2,827.40 = 1,164.65/x
  3. Step 3: Cross multiply
    2,048.85x = 2,827.40 × 1,164.65
  4. Step 4: Simplify right side
    2,048.85x = 3,292,923.30
  5. Step 5: Solve for x
    x = 3,292,923.30/2,048.85
  6. Step 6: Final answer
    x = 1,607.21

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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.