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Finding the Fourth Proportional to 2,758.46, 4,137.59 and 909.53

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Solution

The fourth proportional to 2,758.46, 4,137.59 and 909.53 is: 1,364.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.46 : 4,137.59 = 909.53 : x
  2. Step 2: Convert to fraction form
    2,758.46/4,137.59 = 909.53/x
  3. Step 3: Cross multiply
    2,758.46x = 4,137.59 × 909.53
  4. Step 4: Simplify right side
    2,758.46x = 3,763,243.82
  5. Step 5: Solve for x
    x = 3,763,243.82/2,758.46
  6. Step 6: Final answer
    x = 1,364.26

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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.