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Finding the Fourth Proportional to 2,505.43, 3,458.19 and 1,457.70

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Solution

The fourth proportional to 2,505.43, 3,458.19 and 1,457.70 is: 2,012.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.43 : 3,458.19 = 1,457.70 : x
  2. Step 2: Convert to fraction form
    2,505.43/3,458.19 = 1,457.70/x
  3. Step 3: Cross multiply
    2,505.43x = 3,458.19 × 1,457.70
  4. Step 4: Simplify right side
    2,505.43x = 5,041,003.56
  5. Step 5: Solve for x
    x = 5,041,003.56/2,505.43
  6. Step 6: Final answer
    x = 2,012.03

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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.