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Finding the Fourth Proportional to 2,070.68, 3,106.46 and 684.14

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Solution

The fourth proportional to 2,070.68, 3,106.46 and 684.14 is: 1,026.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.68 : 3,106.46 = 684.14 : x
  2. Step 2: Convert to fraction form
    2,070.68/3,106.46 = 684.14/x
  3. Step 3: Cross multiply
    2,070.68x = 3,106.46 × 684.14
  4. Step 4: Simplify right side
    2,070.68x = 2,125,253.54
  5. Step 5: Solve for x
    x = 2,125,253.54/2,070.68
  6. Step 6: Final answer
    x = 1,026.36

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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.