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Finding the Fourth Proportional to 1,658.03, 2,485.46 and 617.31

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Solution

The fourth proportional to 1,658.03, 2,485.46 and 617.31 is: 925.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.03 : 2,485.46 = 617.31 : x
  2. Step 2: Convert to fraction form
    1,658.03/2,485.46 = 617.31/x
  3. Step 3: Cross multiply
    1,658.03x = 2,485.46 × 617.31
  4. Step 4: Simplify right side
    1,658.03x = 1,534,296.23
  5. Step 5: Solve for x
    x = 1,534,296.23/1,658.03
  6. Step 6: Final answer
    x = 925.38

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