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Finding the Fourth Proportional to 4,070.94, 6,106.85 and 1,296.96

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Solution

The fourth proportional to 4,070.94, 6,106.85 and 1,296.96 is: 1,945.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,070.94 : 6,106.85 = 1,296.96 : x
  2. Step 2: Convert to fraction form
    4,070.94/6,106.85 = 1,296.96/x
  3. Step 3: Cross multiply
    4,070.94x = 6,106.85 × 1,296.96
  4. Step 4: Simplify right side
    4,070.94x = 7,920,340.18
  5. Step 5: Solve for x
    x = 7,920,340.18/4,070.94
  6. Step 6: Final answer
    x = 1,945.58

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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.