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Finding the Fourth Proportional to 1,504.20, 2,075.46 and 874.74

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Solution

The fourth proportional to 1,504.20, 2,075.46 and 874.74 is: 1,206.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.20 : 2,075.46 = 874.74 : x
  2. Step 2: Convert to fraction form
    1,504.20/2,075.46 = 874.74/x
  3. Step 3: Cross multiply
    1,504.20x = 2,075.46 × 874.74
  4. Step 4: Simplify right side
    1,504.20x = 1,815,487.88
  5. Step 5: Solve for x
    x = 1,815,487.88/1,504.20
  6. Step 6: Final answer
    x = 1,206.95

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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.