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Finding the Fourth Proportional to 2,539.46, 3,506.28 and 1,980.56

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Solution

The fourth proportional to 2,539.46, 3,506.28 and 1,980.56 is: 2,734.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.46 : 3,506.28 = 1,980.56 : x
  2. Step 2: Convert to fraction form
    2,539.46/3,506.28 = 1,980.56/x
  3. Step 3: Cross multiply
    2,539.46x = 3,506.28 × 1,980.56
  4. Step 4: Simplify right side
    2,539.46x = 6,944,397.92
  5. Step 5: Solve for x
    x = 6,944,397.92/2,539.46
  6. Step 6: Final answer
    x = 2,734.60

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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.