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Finding the Fourth Proportional to 2,505.69, 3,457.98 and 1,443.61

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Solution

The fourth proportional to 2,505.69, 3,457.98 and 1,443.61 is: 1,992.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.69 : 3,457.98 = 1,443.61 : x
  2. Step 2: Convert to fraction form
    2,505.69/3,457.98 = 1,443.61/x
  3. Step 3: Cross multiply
    2,505.69x = 3,457.98 × 1,443.61
  4. Step 4: Simplify right side
    2,505.69x = 4,991,974.51
  5. Step 5: Solve for x
    x = 4,991,974.51/2,505.69
  6. Step 6: Final answer
    x = 1,992.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.