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Finding the Fourth Proportional to 2,646, 3,642.84 and 2,223.60

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Solution

The fourth proportional to 2,646, 3,642.84 and 2,223.60 is: 3,061.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646 : 3,642.84 = 2,223.60 : x
  2. Step 2: Convert to fraction form
    2,646/3,642.84 = 2,223.60/x
  3. Step 3: Cross multiply
    2,646x = 3,642.84 × 2,223.60
  4. Step 4: Simplify right side
    2,646x = 8,100,219.02
  5. Step 5: Solve for x
    x = 8,100,219.02/2,646
  6. Step 6: Final answer
    x = 3,061.31

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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.