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Finding the Fourth Proportional to 2,504.01, 3,430.43 and 2,410.53

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Solution

The fourth proportional to 2,504.01, 3,430.43 and 2,410.53 is: 3,302.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.01 : 3,430.43 = 2,410.53 : x
  2. Step 2: Convert to fraction form
    2,504.01/3,430.43 = 2,410.53/x
  3. Step 3: Cross multiply
    2,504.01x = 3,430.43 × 2,410.53
  4. Step 4: Simplify right side
    2,504.01x = 8,269,142.38
  5. Step 5: Solve for x
    x = 8,269,142.38/2,504.01
  6. Step 6: Final answer
    x = 3,302.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.