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Finding the Fourth Proportional to 3,282.25, 4,924.19 and 973.75

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Solution

The fourth proportional to 3,282.25, 4,924.19 and 973.75 is: 1,460.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.25 : 4,924.19 = 973.75 : x
  2. Step 2: Convert to fraction form
    3,282.25/4,924.19 = 973.75/x
  3. Step 3: Cross multiply
    3,282.25x = 4,924.19 × 973.75
  4. Step 4: Simplify right side
    3,282.25x = 4,794,925.14
  5. Step 5: Solve for x
    x = 4,794,925.14/3,282.25
  6. Step 6: Final answer
    x = 1,460.87

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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.