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Finding the Fourth Proportional to 1,504.80, 2,257.74 and 1,075.32

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Solution

The fourth proportional to 1,504.80, 2,257.74 and 1,075.32 is: 1,613.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.80 : 2,257.74 = 1,075.32 : x
  2. Step 2: Convert to fraction form
    1,504.80/2,257.74 = 1,075.32/x
  3. Step 3: Cross multiply
    1,504.80x = 2,257.74 × 1,075.32
  4. Step 4: Simplify right side
    1,504.80x = 2,427,792.98
  5. Step 5: Solve for x
    x = 2,427,792.98/1,504.80
  6. Step 6: Final answer
    x = 1,613.37

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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.