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Finding the Fourth Proportional to 2,803.06, 3,868.14 and 1,608.22

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Solution

The fourth proportional to 2,803.06, 3,868.14 and 1,608.22 is: 2,219.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.06 : 3,868.14 = 1,608.22 : x
  2. Step 2: Convert to fraction form
    2,803.06/3,868.14 = 1,608.22/x
  3. Step 3: Cross multiply
    2,803.06x = 3,868.14 × 1,608.22
  4. Step 4: Simplify right side
    2,803.06x = 6,220,820.11
  5. Step 5: Solve for x
    x = 6,220,820.11/2,803.06
  6. Step 6: Final answer
    x = 2,219.30

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1.5x scale

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.