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Finding the Fourth Proportional to 3,255, 4,492.60 and 2,075.80

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Solution

The fourth proportional to 3,255, 4,492.60 and 2,075.80 is: 2,865.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,255 : 4,492.60 = 2,075.80 : x
  2. Step 2: Convert to fraction form
    3,255/4,492.60 = 2,075.80/x
  3. Step 3: Cross multiply
    3,255x = 4,492.60 × 2,075.80
  4. Step 4: Simplify right side
    3,255x = 9,325,739.08
  5. Step 5: Solve for x
    x = 9,325,739.08/3,255
  6. Step 6: Final answer
    x = 2,865.05

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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.