Home / 1,962.16-2,706.57-1,164.94

Finding the Fourth Proportional to 1,962.16, 2,706.57 and 1,164.94

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Solution

The fourth proportional to 1,962.16, 2,706.57 and 1,164.94 is: 1,606.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.16 : 2,706.57 = 1,164.94 : x
  2. Step 2: Convert to fraction form
    1,962.16/2,706.57 = 1,164.94/x
  3. Step 3: Cross multiply
    1,962.16x = 2,706.57 × 1,164.94
  4. Step 4: Simplify right side
    1,962.16x = 3,152,991.80
  5. Step 5: Solve for x
    x = 3,152,991.80/1,962.16
  6. Step 6: Final answer
    x = 1,606.90

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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.