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Finding the Fourth Proportional to 2,497.05, 3,745.76 and 1,457.15

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Solution

The fourth proportional to 2,497.05, 3,745.76 and 1,457.15 is: 2,185.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.05 : 3,745.76 = 1,457.15 : x
  2. Step 2: Convert to fraction form
    2,497.05/3,745.76 = 1,457.15/x
  3. Step 3: Cross multiply
    2,497.05x = 3,745.76 × 1,457.15
  4. Step 4: Simplify right side
    2,497.05x = 5,458,108.17
  5. Step 5: Solve for x
    x = 5,458,108.17/2,497.05
  6. Step 6: Final answer
    x = 2,185.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.