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Finding the Fourth Proportional to 3,164.67, 4,747.71 and 973.59

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Solution

The fourth proportional to 3,164.67, 4,747.71 and 973.59 is: 1,460.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.67 : 4,747.71 = 973.59 : x
  2. Step 2: Convert to fraction form
    3,164.67/4,747.71 = 973.59/x
  3. Step 3: Cross multiply
    3,164.67x = 4,747.71 × 973.59
  4. Step 4: Simplify right side
    3,164.67x = 4,622,322.98
  5. Step 5: Solve for x
    x = 4,622,322.98/3,164.67
  6. Step 6: Final answer
    x = 1,460.60

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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.