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Finding the Fourth Proportional to 2,070.12, 3,107.34 and 916.68

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Solution

The fourth proportional to 2,070.12, 3,107.34 and 916.68 is: 1,375.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.12 : 3,107.34 = 916.68 : x
  2. Step 2: Convert to fraction form
    2,070.12/3,107.34 = 916.68/x
  3. Step 3: Cross multiply
    2,070.12x = 3,107.34 × 916.68
  4. Step 4: Simplify right side
    2,070.12x = 2,848,436.43
  5. Step 5: Solve for x
    x = 2,848,436.43/2,070.12
  6. Step 6: Final answer
    x = 1,375.98

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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.