Home / 2,048.84-2,827.92-1,164.93

Finding the Fourth Proportional to 2,048.84, 2,827.92 and 1,164.93

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Solution

The fourth proportional to 2,048.84, 2,827.92 and 1,164.93 is: 1,607.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.84 : 2,827.92 = 1,164.93 : x
  2. Step 2: Convert to fraction form
    2,048.84/2,827.92 = 1,164.93/x
  3. Step 3: Cross multiply
    2,048.84x = 2,827.92 × 1,164.93
  4. Step 4: Simplify right side
    2,048.84x = 3,294,328.85
  5. Step 5: Solve for x
    x = 3,294,328.85/2,048.84
  6. Step 6: Final answer
    x = 1,607.90

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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.