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Finding the Fourth Proportional to 2,833.97, 4,253.64 and 1,740.47

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Solution

The fourth proportional to 2,833.97, 4,253.64 and 1,740.47 is: 2,612.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.97 : 4,253.64 = 1,740.47 : x
  2. Step 2: Convert to fraction form
    2,833.97/4,253.64 = 1,740.47/x
  3. Step 3: Cross multiply
    2,833.97x = 4,253.64 × 1,740.47
  4. Step 4: Simplify right side
    2,833.97x = 7,403,311.54
  5. Step 5: Solve for x
    x = 7,403,311.54/2,833.97
  6. Step 6: Final answer
    x = 2,612.35

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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.