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Finding the Fourth Proportional to 1,584.80, 2,365.84 and 1,363.04

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Solution

The fourth proportional to 1,584.80, 2,365.84 and 1,363.04 is: 2,034.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.80 : 2,365.84 = 1,363.04 : x
  2. Step 2: Convert to fraction form
    1,584.80/2,365.84 = 1,363.04/x
  3. Step 3: Cross multiply
    1,584.80x = 2,365.84 × 1,363.04
  4. Step 4: Simplify right side
    1,584.80x = 3,224,734.55
  5. Step 5: Solve for x
    x = 3,224,734.55/1,584.80
  6. Step 6: Final answer
    x = 2,034.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.