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Finding the Fourth Proportional to 1,608.60, 2,410.26 and 1,548.66

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Solution

The fourth proportional to 1,608.60, 2,410.26 and 1,548.66 is: 2,320.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.60 : 2,410.26 = 1,548.66 : x
  2. Step 2: Convert to fraction form
    1,608.60/2,410.26 = 1,548.66/x
  3. Step 3: Cross multiply
    1,608.60x = 2,410.26 × 1,548.66
  4. Step 4: Simplify right side
    1,608.60x = 3,732,673.25
  5. Step 5: Solve for x
    x = 3,732,673.25/1,608.60
  6. Step 6: Final answer
    x = 2,320.45

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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.