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Finding the Fourth Proportional to 6,902.08, 10,350.05 and 1,970.60

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Solution

The fourth proportional to 6,902.08, 10,350.05 and 1,970.60 is: 2,955.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.08 : 10,350.05 = 1,970.60 : x
  2. Step 2: Convert to fraction form
    6,902.08/10,350.05 = 1,970.60/x
  3. Step 3: Cross multiply
    6,902.08x = 10,350.05 × 1,970.60
  4. Step 4: Simplify right side
    6,902.08x = 20,395,746.93
  5. Step 5: Solve for x
    x = 20,395,746.93/6,902.08
  6. Step 6: Final answer
    x = 2,955.02

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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.