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Finding the Fourth Proportional to 2,975.07, 4,105.46 and 1,648.77

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Solution

The fourth proportional to 2,975.07, 4,105.46 and 1,648.77 is: 2,275.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.07 : 4,105.46 = 1,648.77 : x
  2. Step 2: Convert to fraction form
    2,975.07/4,105.46 = 1,648.77/x
  3. Step 3: Cross multiply
    2,975.07x = 4,105.46 × 1,648.77
  4. Step 4: Simplify right side
    2,975.07x = 6,768,951.04
  5. Step 5: Solve for x
    x = 6,768,951.04/2,975.07
  6. Step 6: Final answer
    x = 2,275.22

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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.