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Finding the Fourth Proportional to 2,541.72, 3,502.80 and 2,037

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Solution

The fourth proportional to 2,541.72, 3,502.80 and 2,037 is: 2,807.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.72 : 3,502.80 = 2,037 : x
  2. Step 2: Convert to fraction form
    2,541.72/3,502.80 = 2,037/x
  3. Step 3: Cross multiply
    2,541.72x = 3,502.80 × 2,037
  4. Step 4: Simplify right side
    2,541.72x = 7,135,203.60
  5. Step 5: Solve for x
    x = 7,135,203.60/2,541.72
  6. Step 6: Final answer
    x = 2,807.23

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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.