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Finding the Fourth Proportional to 2,954.74, 4,075.46 and 2,056.98

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Solution

The fourth proportional to 2,954.74, 4,075.46 and 2,056.98 is: 2,837.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.74 : 4,075.46 = 2,056.98 : x
  2. Step 2: Convert to fraction form
    2,954.74/4,075.46 = 2,056.98/x
  3. Step 3: Cross multiply
    2,954.74x = 4,075.46 × 2,056.98
  4. Step 4: Simplify right side
    2,954.74x = 8,383,139.71
  5. Step 5: Solve for x
    x = 8,383,139.71/2,954.74
  6. Step 6: Final answer
    x = 2,837.18

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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.