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Finding the Fourth Proportional to 2,129.14, 3,190.47 and 973.54

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Solution

The fourth proportional to 2,129.14, 3,190.47 and 973.54 is: 1,458.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.14 : 3,190.47 = 973.54 : x
  2. Step 2: Convert to fraction form
    2,129.14/3,190.47 = 973.54/x
  3. Step 3: Cross multiply
    2,129.14x = 3,190.47 × 973.54
  4. Step 4: Simplify right side
    2,129.14x = 3,106,050.16
  5. Step 5: Solve for x
    x = 3,106,050.16/2,129.14
  6. Step 6: Final answer
    x = 1,458.83

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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.