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Finding the Fourth Proportional to 2,055.58, 3,083.57 and 756.88

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Solution

The fourth proportional to 2,055.58, 3,083.57 and 756.88 is: 1,135.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.58 : 3,083.57 = 756.88 : x
  2. Step 2: Convert to fraction form
    2,055.58/3,083.57 = 756.88/x
  3. Step 3: Cross multiply
    2,055.58x = 3,083.57 × 756.88
  4. Step 4: Simplify right side
    2,055.58x = 2,333,892.46
  5. Step 5: Solve for x
    x = 2,333,892.46/2,055.58
  6. Step 6: Final answer
    x = 1,135.39

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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.