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Finding the Fourth Proportional to 2,316.78, 3,195.99 and 1,478.43

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Solution

The fourth proportional to 2,316.78, 3,195.99 and 1,478.43 is: 2,039.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.78 : 3,195.99 = 1,478.43 : x
  2. Step 2: Convert to fraction form
    2,316.78/3,195.99 = 1,478.43/x
  3. Step 3: Cross multiply
    2,316.78x = 3,195.99 × 1,478.43
  4. Step 4: Simplify right side
    2,316.78x = 4,725,047.50
  5. Step 5: Solve for x
    x = 4,725,047.50/2,316.78
  6. Step 6: Final answer
    x = 2,039.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.