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Finding the Fourth Proportional to 3,282.10, 4,923.12 and 973.60

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Solution

The fourth proportional to 3,282.10, 4,923.12 and 973.60 is: 1,460.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.10 : 4,923.12 = 973.60 : x
  2. Step 2: Convert to fraction form
    3,282.10/4,923.12 = 973.60/x
  3. Step 3: Cross multiply
    3,282.10x = 4,923.12 × 973.60
  4. Step 4: Simplify right side
    3,282.10x = 4,793,149.63
  5. Step 5: Solve for x
    x = 4,793,149.63/3,282.10
  6. Step 6: Final answer
    x = 1,460.39

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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.