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Finding the Fourth Proportional to 2,840.06, 3,919.83 and 1,598.06

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Solution

The fourth proportional to 2,840.06, 3,919.83 and 1,598.06 is: 2,205.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.06 : 3,919.83 = 1,598.06 : x
  2. Step 2: Convert to fraction form
    2,840.06/3,919.83 = 1,598.06/x
  3. Step 3: Cross multiply
    2,840.06x = 3,919.83 × 1,598.06
  4. Step 4: Simplify right side
    2,840.06x = 6,264,127.34
  5. Step 5: Solve for x
    x = 6,264,127.34/2,840.06
  6. Step 6: Final answer
    x = 2,205.63

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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.