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Finding the Fourth Proportional to 2,075.04, 2,863.60 and 1,143.60

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Solution

The fourth proportional to 2,075.04, 2,863.60 and 1,143.60 is: 1,578.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.04 : 2,863.60 = 1,143.60 : x
  2. Step 2: Convert to fraction form
    2,075.04/2,863.60 = 1,143.60/x
  3. Step 3: Cross multiply
    2,075.04x = 2,863.60 × 1,143.60
  4. Step 4: Simplify right side
    2,075.04x = 3,274,812.96
  5. Step 5: Solve for x
    x = 3,274,812.96/2,075.04
  6. Step 6: Final answer
    x = 1,578.19

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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.