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Finding the Fourth Proportional to 2,505.62, 3,756.24 and 1,272.44

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Solution

The fourth proportional to 2,505.62, 3,756.24 and 1,272.44 is: 1,907.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.62 : 3,756.24 = 1,272.44 : x
  2. Step 2: Convert to fraction form
    2,505.62/3,756.24 = 1,272.44/x
  3. Step 3: Cross multiply
    2,505.62x = 3,756.24 × 1,272.44
  4. Step 4: Simplify right side
    2,505.62x = 4,779,590.03
  5. Step 5: Solve for x
    x = 4,779,590.03/2,505.62
  6. Step 6: Final answer
    x = 1,907.55

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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.