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Finding the Fourth Proportional to 2,035.86, 3,053.58 and 804.25

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Solution

The fourth proportional to 2,035.86, 3,053.58 and 804.25 is: 1,206.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.86 : 3,053.58 = 804.25 : x
  2. Step 2: Convert to fraction form
    2,035.86/3,053.58 = 804.25/x
  3. Step 3: Cross multiply
    2,035.86x = 3,053.58 × 804.25
  4. Step 4: Simplify right side
    2,035.86x = 2,455,841.72
  5. Step 5: Solve for x
    x = 2,455,841.72/2,035.86
  6. Step 6: Final answer
    x = 1,206.29

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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.