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Finding the Fourth Proportional to 2,097.74, 2,893.90 and 1,678.67

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Solution

The fourth proportional to 2,097.74, 2,893.90 and 1,678.67 is: 2,315.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.74 : 2,893.90 = 1,678.67 : x
  2. Step 2: Convert to fraction form
    2,097.74/2,893.90 = 1,678.67/x
  3. Step 3: Cross multiply
    2,097.74x = 2,893.90 × 1,678.67
  4. Step 4: Simplify right side
    2,097.74x = 4,857,919.45
  5. Step 5: Solve for x
    x = 4,857,919.45/2,097.74
  6. Step 6: Final answer
    x = 2,315.79

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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.