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Finding the Fourth Proportional to 3,463.95, 4,780.56 and 1,971.54

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Solution

The fourth proportional to 3,463.95, 4,780.56 and 1,971.54 is: 2,720.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.95 : 4,780.56 = 1,971.54 : x
  2. Step 2: Convert to fraction form
    3,463.95/4,780.56 = 1,971.54/x
  3. Step 3: Cross multiply
    3,463.95x = 4,780.56 × 1,971.54
  4. Step 4: Simplify right side
    3,463.95x = 9,425,065.26
  5. Step 5: Solve for x
    x = 9,425,065.26/3,463.95
  6. Step 6: Final answer
    x = 2,720.90

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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.