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Finding the Fourth Proportional to 2,505.96, 3,458.45 and 1,457.82

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Solution

The fourth proportional to 2,505.96, 3,458.45 and 1,457.82 is: 2,011.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.96 : 3,458.45 = 1,457.82 : x
  2. Step 2: Convert to fraction form
    2,505.96/3,458.45 = 1,457.82/x
  3. Step 3: Cross multiply
    2,505.96x = 3,458.45 × 1,457.82
  4. Step 4: Simplify right side
    2,505.96x = 5,041,790.29
  5. Step 5: Solve for x
    x = 5,041,790.29/2,505.96
  6. Step 6: Final answer
    x = 2,011.92

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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.