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Finding the Fourth Proportional to 2,070.56, 3,106.22 and 683.98

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Solution

The fourth proportional to 2,070.56, 3,106.22 and 683.98 is: 1,026.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.56 : 3,106.22 = 683.98 : x
  2. Step 2: Convert to fraction form
    2,070.56/3,106.22 = 683.98/x
  3. Step 3: Cross multiply
    2,070.56x = 3,106.22 × 683.98
  4. Step 4: Simplify right side
    2,070.56x = 2,124,581.17
  5. Step 5: Solve for x
    x = 2,124,581.17/2,070.56
  6. Step 6: Final answer
    x = 1,026.09

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