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Finding the Fourth Proportional to 3,094.93, 4,642.02 and 873.93

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Solution

The fourth proportional to 3,094.93, 4,642.02 and 873.93 is: 1,310.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.93 : 4,642.02 = 873.93 : x
  2. Step 2: Convert to fraction form
    3,094.93/4,642.02 = 873.93/x
  3. Step 3: Cross multiply
    3,094.93x = 4,642.02 × 873.93
  4. Step 4: Simplify right side
    3,094.93x = 4,056,800.54
  5. Step 5: Solve for x
    x = 4,056,800.54/3,094.93
  6. Step 6: Final answer
    x = 1,310.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.