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Finding the Fourth Proportional to 2,128.94, 2,940.72 and 1,464.64

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Solution

The fourth proportional to 2,128.94, 2,940.72 and 1,464.64 is: 2,023.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.94 : 2,940.72 = 1,464.64 : x
  2. Step 2: Convert to fraction form
    2,128.94/2,940.72 = 1,464.64/x
  3. Step 3: Cross multiply
    2,128.94x = 2,940.72 × 1,464.64
  4. Step 4: Simplify right side
    2,128.94x = 4,307,096.14
  5. Step 5: Solve for x
    x = 4,307,096.14/2,128.94
  6. Step 6: Final answer
    x = 2,023.12

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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.