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Finding the Fourth Proportional to 1,657.50, 2,485.54 and 617.33

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Solution

The fourth proportional to 1,657.50, 2,485.54 and 617.33 is: 925.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.50 : 2,485.54 = 617.33 : x
  2. Step 2: Convert to fraction form
    1,657.50/2,485.54 = 617.33/x
  3. Step 3: Cross multiply
    1,657.50x = 2,485.54 × 617.33
  4. Step 4: Simplify right side
    1,657.50x = 1,534,398.41
  5. Step 5: Solve for x
    x = 1,534,398.41/1,657.50
  6. Step 6: Final answer
    x = 925.73

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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.