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Finding the Fourth Proportional to 1,836.53, 2,754.93 and 538.04

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Solution

The fourth proportional to 1,836.53, 2,754.93 and 538.04 is: 807.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836.53 : 2,754.93 = 538.04 : x
  2. Step 2: Convert to fraction form
    1,836.53/2,754.93 = 538.04/x
  3. Step 3: Cross multiply
    1,836.53x = 2,754.93 × 538.04
  4. Step 4: Simplify right side
    1,836.53x = 1,482,262.54
  5. Step 5: Solve for x
    x = 1,482,262.54/1,836.53
  6. Step 6: Final answer
    x = 807.10

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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.