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Finding the Fourth Proportional to 2,478.09, 3,419.80 and 1,483.41

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Solution

The fourth proportional to 2,478.09, 3,419.80 and 1,483.41 is: 2,047.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.09 : 3,419.80 = 1,483.41 : x
  2. Step 2: Convert to fraction form
    2,478.09/3,419.80 = 1,483.41/x
  3. Step 3: Cross multiply
    2,478.09x = 3,419.80 × 1,483.41
  4. Step 4: Simplify right side
    2,478.09x = 5,072,961.81
  5. Step 5: Solve for x
    x = 5,072,961.81/2,478.09
  6. Step 6: Final answer
    x = 2,047.13

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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.