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Finding the Fourth Proportional to 2,365.56, 3,541.04 and 1,542.06

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Solution

The fourth proportional to 2,365.56, 3,541.04 and 1,542.06 is: 2,308.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.56 : 3,541.04 = 1,542.06 : x
  2. Step 2: Convert to fraction form
    2,365.56/3,541.04 = 1,542.06/x
  3. Step 3: Cross multiply
    2,365.56x = 3,541.04 × 1,542.06
  4. Step 4: Simplify right side
    2,365.56x = 5,460,496.14
  5. Step 5: Solve for x
    x = 5,460,496.14/2,365.56
  6. Step 6: Final answer
    x = 2,308.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.