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Finding the Fourth Proportional to 2,945.76, 4,419 and 1,214.88

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Solution

The fourth proportional to 2,945.76, 4,419 and 1,214.88 is: 1,822.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.76 : 4,419 = 1,214.88 : x
  2. Step 2: Convert to fraction form
    2,945.76/4,419 = 1,214.88/x
  3. Step 3: Cross multiply
    2,945.76x = 4,419 × 1,214.88
  4. Step 4: Simplify right side
    2,945.76x = 5,368,554.72
  5. Step 5: Solve for x
    x = 5,368,554.72/2,945.76
  6. Step 6: Final answer
    x = 1,822.47

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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.