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Finding the Fourth Proportional to 2,533.28, 3,801.74 and 1,492.63

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Solution

The fourth proportional to 2,533.28, 3,801.74 and 1,492.63 is: 2,240.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.28 : 3,801.74 = 1,492.63 : x
  2. Step 2: Convert to fraction form
    2,533.28/3,801.74 = 1,492.63/x
  3. Step 3: Cross multiply
    2,533.28x = 3,801.74 × 1,492.63
  4. Step 4: Simplify right side
    2,533.28x = 5,674,574.21
  5. Step 5: Solve for x
    x = 5,674,574.21/2,533.28
  6. Step 6: Final answer
    x = 2,240.02

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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.