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Finding the Fourth Proportional to 2,507.96, 3,457.58 and 2,114.30

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Solution

The fourth proportional to 2,507.96, 3,457.58 and 2,114.30 is: 2,914.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.96 : 3,457.58 = 2,114.30 : x
  2. Step 2: Convert to fraction form
    2,507.96/3,457.58 = 2,114.30/x
  3. Step 3: Cross multiply
    2,507.96x = 3,457.58 × 2,114.30
  4. Step 4: Simplify right side
    2,507.96x = 7,310,359.47
  5. Step 5: Solve for x
    x = 7,310,359.47/2,507.96
  6. Step 6: Final answer
    x = 2,914.86

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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.