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Finding the Fourth Proportional to 2,257.79, 3,384.87 and 2,075.54

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Solution

The fourth proportional to 2,257.79, 3,384.87 and 2,075.54 is: 3,111.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.79 : 3,384.87 = 2,075.54 : x
  2. Step 2: Convert to fraction form
    2,257.79/3,384.87 = 2,075.54/x
  3. Step 3: Cross multiply
    2,257.79x = 3,384.87 × 2,075.54
  4. Step 4: Simplify right side
    2,257.79x = 7,025,440.58
  5. Step 5: Solve for x
    x = 7,025,440.58/2,257.79
  6. Step 6: Final answer
    x = 3,111.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.