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Finding the Fourth Proportional to 2,606.40, 3,887.64 and 2,424.96

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Solution

The fourth proportional to 2,606.40, 3,887.64 and 2,424.96 is: 3,617.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.40 : 3,887.64 = 2,424.96 : x
  2. Step 2: Convert to fraction form
    2,606.40/3,887.64 = 2,424.96/x
  3. Step 3: Cross multiply
    2,606.40x = 3,887.64 × 2,424.96
  4. Step 4: Simplify right side
    2,606.40x = 9,427,371.49
  5. Step 5: Solve for x
    x = 9,427,371.49/2,606.40
  6. Step 6: Final answer
    x = 3,617.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.