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Finding the Fourth Proportional to 1,815.82, 2,506.24 and 1,152.55

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Solution

The fourth proportional to 1,815.82, 2,506.24 and 1,152.55 is: 1,590.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.82 : 2,506.24 = 1,152.55 : x
  2. Step 2: Convert to fraction form
    1,815.82/2,506.24 = 1,152.55/x
  3. Step 3: Cross multiply
    1,815.82x = 2,506.24 × 1,152.55
  4. Step 4: Simplify right side
    1,815.82x = 2,888,571.49
  5. Step 5: Solve for x
    x = 2,888,571.49/1,815.82
  6. Step 6: Final answer
    x = 1,590.78

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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.