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Finding the Fourth Proportional to 2,537.96, 3,502.18 and 1,606.12

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Solution

The fourth proportional to 2,537.96, 3,502.18 and 1,606.12 is: 2,216.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.96 : 3,502.18 = 1,606.12 : x
  2. Step 2: Convert to fraction form
    2,537.96/3,502.18 = 1,606.12/x
  3. Step 3: Cross multiply
    2,537.96x = 3,502.18 × 1,606.12
  4. Step 4: Simplify right side
    2,537.96x = 5,624,921.34
  5. Step 5: Solve for x
    x = 5,624,921.34/2,537.96
  6. Step 6: Final answer
    x = 2,216.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.