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Finding the Fourth Proportional to 1,836.76, 2,755.58 and 538.20

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Solution

The fourth proportional to 1,836.76, 2,755.58 and 538.20 is: 807.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836.76 : 2,755.58 = 538.20 : x
  2. Step 2: Convert to fraction form
    1,836.76/2,755.58 = 538.20/x
  3. Step 3: Cross multiply
    1,836.76x = 2,755.58 × 538.20
  4. Step 4: Simplify right side
    1,836.76x = 1,483,053.16
  5. Step 5: Solve for x
    x = 1,483,053.16/1,836.76
  6. Step 6: Final answer
    x = 807.43

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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.