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Finding the Fourth Proportional to 2,596.25, 3,894.39 and 648.45

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Solution

The fourth proportional to 2,596.25, 3,894.39 and 648.45 is: 972.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.25 : 3,894.39 = 648.45 : x
  2. Step 2: Convert to fraction form
    2,596.25/3,894.39 = 648.45/x
  3. Step 3: Cross multiply
    2,596.25x = 3,894.39 × 648.45
  4. Step 4: Simplify right side
    2,596.25x = 2,525,317.20
  5. Step 5: Solve for x
    x = 2,525,317.20/2,596.25
  6. Step 6: Final answer
    x = 972.68

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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.