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Finding the Fourth Proportional to 2,457.91, 3,690.56 and 2,114.98

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Solution

The fourth proportional to 2,457.91, 3,690.56 and 2,114.98 is: 3,175.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.91 : 3,690.56 = 2,114.98 : x
  2. Step 2: Convert to fraction form
    2,457.91/3,690.56 = 2,114.98/x
  3. Step 3: Cross multiply
    2,457.91x = 3,690.56 × 2,114.98
  4. Step 4: Simplify right side
    2,457.91x = 7,805,431.56
  5. Step 5: Solve for x
    x = 7,805,431.56/2,457.91
  6. Step 6: Final answer
    x = 3,175.64

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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.