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Finding the Fourth Proportional to 3,097.86, 4,275 and 1,771.89

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Solution

The fourth proportional to 3,097.86, 4,275 and 1,771.89 is: 2,445.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.86 : 4,275 = 1,771.89 : x
  2. Step 2: Convert to fraction form
    3,097.86/4,275 = 1,771.89/x
  3. Step 3: Cross multiply
    3,097.86x = 4,275 × 1,771.89
  4. Step 4: Simplify right side
    3,097.86x = 7,574,829.75
  5. Step 5: Solve for x
    x = 7,574,829.75/3,097.86
  6. Step 6: Final answer
    x = 2,445.18

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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.