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Finding the Fourth Proportional to 1,271.74, 1,902.42 and 1,075.50

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Solution

The fourth proportional to 1,271.74, 1,902.42 and 1,075.50 is: 1,608.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.74 : 1,902.42 = 1,075.50 : x
  2. Step 2: Convert to fraction form
    1,271.74/1,902.42 = 1,075.50/x
  3. Step 3: Cross multiply
    1,271.74x = 1,902.42 × 1,075.50
  4. Step 4: Simplify right side
    1,271.74x = 2,046,052.71
  5. Step 5: Solve for x
    x = 2,046,052.71/1,271.74
  6. Step 6: Final answer
    x = 1,608.86

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Why These Related Problems?

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