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Finding the Fourth Proportional to 2,833.94, 4,253.62 and 1,740.44

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Solution

The fourth proportional to 2,833.94, 4,253.62 and 1,740.44 is: 2,612.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.94 : 4,253.62 = 1,740.44 : x
  2. Step 2: Convert to fraction form
    2,833.94/4,253.62 = 1,740.44/x
  3. Step 3: Cross multiply
    2,833.94x = 4,253.62 × 1,740.44
  4. Step 4: Simplify right side
    2,833.94x = 7,403,170.39
  5. Step 5: Solve for x
    x = 7,403,170.39/2,833.94
  6. Step 6: Final answer
    x = 2,612.32

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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.