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Finding the Fourth Proportional to 2,533.78, 3,797.58 and 1,146.76

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Solution

The fourth proportional to 2,533.78, 3,797.58 and 1,146.76 is: 1,718.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.78 : 3,797.58 = 1,146.76 : x
  2. Step 2: Convert to fraction form
    2,533.78/3,797.58 = 1,146.76/x
  3. Step 3: Cross multiply
    2,533.78x = 3,797.58 × 1,146.76
  4. Step 4: Simplify right side
    2,533.78x = 4,354,907.65
  5. Step 5: Solve for x
    x = 4,354,907.65/2,533.78
  6. Step 6: Final answer
    x = 1,718.74

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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.