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Finding the Fourth Proportional to 2,505.69, 3,457.62 and 1,443.65

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Solution

The fourth proportional to 2,505.69, 3,457.62 and 1,443.65 is: 1,992.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.69 : 3,457.62 = 1,443.65 : x
  2. Step 2: Convert to fraction form
    2,505.69/3,457.62 = 1,443.65/x
  3. Step 3: Cross multiply
    2,505.69x = 3,457.62 × 1,443.65
  4. Step 4: Simplify right side
    2,505.69x = 4,991,575.82
  5. Step 5: Solve for x
    x = 4,991,575.82/2,505.69
  6. Step 6: Final answer
    x = 1,992.10

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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.