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Finding the Fourth Proportional to 3,096.96, 4,273.76 and 1,699.71

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Solution

The fourth proportional to 3,096.96, 4,273.76 and 1,699.71 is: 2,345.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.96 : 4,273.76 = 1,699.71 : x
  2. Step 2: Convert to fraction form
    3,096.96/4,273.76 = 1,699.71/x
  3. Step 3: Cross multiply
    3,096.96x = 4,273.76 × 1,699.71
  4. Step 4: Simplify right side
    3,096.96x = 7,264,144.11
  5. Step 5: Solve for x
    x = 7,264,144.11/3,096.96
  6. Step 6: Final answer
    x = 2,345.57

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1.5x scale

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.