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Finding the Fourth Proportional to 2,070.42, 3,106.05 and 683.74

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Solution

The fourth proportional to 2,070.42, 3,106.05 and 683.74 is: 1,025.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.42 : 3,106.05 = 683.74 : x
  2. Step 2: Convert to fraction form
    2,070.42/3,106.05 = 683.74/x
  3. Step 3: Cross multiply
    2,070.42x = 3,106.05 × 683.74
  4. Step 4: Simplify right side
    2,070.42x = 2,123,730.63
  5. Step 5: Solve for x
    x = 2,123,730.63/2,070.42
  6. Step 6: Final answer
    x = 1,025.75

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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.