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Finding the Fourth Proportional to 2,122, 2,928.56 and 1,237.64

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Solution

The fourth proportional to 2,122, 2,928.56 and 1,237.64 is: 1,708.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122 : 2,928.56 = 1,237.64 : x
  2. Step 2: Convert to fraction form
    2,122/2,928.56 = 1,237.64/x
  3. Step 3: Cross multiply
    2,122x = 2,928.56 × 1,237.64
  4. Step 4: Simplify right side
    2,122x = 3,624,503.00
  5. Step 5: Solve for x
    x = 3,624,503.00/2,122
  6. Step 6: Final answer
    x = 1,708.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.