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Finding the Fourth Proportional to 2,507.72, 3,457.32 and 2,057.93

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Solution

The fourth proportional to 2,507.72, 3,457.32 and 2,057.93 is: 2,837.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.72 : 3,457.32 = 2,057.93 : x
  2. Step 2: Convert to fraction form
    2,507.72/3,457.32 = 2,057.93/x
  3. Step 3: Cross multiply
    2,507.72x = 3,457.32 × 2,057.93
  4. Step 4: Simplify right side
    2,507.72x = 7,114,905.26
  5. Step 5: Solve for x
    x = 7,114,905.26/2,507.72
  6. Step 6: Final answer
    x = 2,837.21

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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.