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Finding the Fourth Proportional to 3,097.73, 4,275 and 1,771.86

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Solution

The fourth proportional to 3,097.73, 4,275 and 1,771.86 is: 2,445.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.73 : 4,275 = 1,771.86 : x
  2. Step 2: Convert to fraction form
    3,097.73/4,275 = 1,771.86/x
  3. Step 3: Cross multiply
    3,097.73x = 4,275 × 1,771.86
  4. Step 4: Simplify right side
    3,097.73x = 7,574,701.50
  5. Step 5: Solve for x
    x = 7,574,701.50/3,097.73
  6. Step 6: Final answer
    x = 2,445.25

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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.