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Finding the Fourth Proportional to 3,164.54, 4,747.55 and 973.22

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Solution

The fourth proportional to 3,164.54, 4,747.55 and 973.22 is: 1,460.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.54 : 4,747.55 = 973.22 : x
  2. Step 2: Convert to fraction form
    3,164.54/4,747.55 = 973.22/x
  3. Step 3: Cross multiply
    3,164.54x = 4,747.55 × 973.22
  4. Step 4: Simplify right side
    3,164.54x = 4,620,382.01
  5. Step 5: Solve for x
    x = 4,620,382.01/3,164.54
  6. Step 6: Final answer
    x = 1,460.05

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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.