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Finding the Fourth Proportional to 2,505.39, 3,457.70 and 1,443.19

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Solution

The fourth proportional to 2,505.39, 3,457.70 and 1,443.19 is: 1,991.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.39 : 3,457.70 = 1,443.19 : x
  2. Step 2: Convert to fraction form
    2,505.39/3,457.70 = 1,443.19/x
  3. Step 3: Cross multiply
    2,505.39x = 3,457.70 × 1,443.19
  4. Step 4: Simplify right side
    2,505.39x = 4,990,126.71
  5. Step 5: Solve for x
    x = 4,990,126.71/2,505.39
  6. Step 6: Final answer
    x = 1,991.75

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Why These Related Problems?

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