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Finding the Fourth Proportional to 2,945.52, 4,419 and 1,647.84

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Solution

The fourth proportional to 2,945.52, 4,419 and 1,647.84 is: 2,472.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.52 : 4,419 = 1,647.84 : x
  2. Step 2: Convert to fraction form
    2,945.52/4,419 = 1,647.84/x
  3. Step 3: Cross multiply
    2,945.52x = 4,419 × 1,647.84
  4. Step 4: Simplify right side
    2,945.52x = 7,281,804.96
  5. Step 5: Solve for x
    x = 7,281,804.96/2,945.52
  6. Step 6: Final answer
    x = 2,472.16

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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.