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Finding the Fourth Proportional to 2,071.78, 3,107.36 and 684.95

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Solution

The fourth proportional to 2,071.78, 3,107.36 and 684.95 is: 1,027.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.78 : 3,107.36 = 684.95 : x
  2. Step 2: Convert to fraction form
    2,071.78/3,107.36 = 684.95/x
  3. Step 3: Cross multiply
    2,071.78x = 3,107.36 × 684.95
  4. Step 4: Simplify right side
    2,071.78x = 2,128,372.41
  5. Step 5: Solve for x
    x = 2,128,372.41/2,071.78
  6. Step 6: Final answer
    x = 1,027.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.