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Finding the Fourth Proportional to 1,484.72, 2,049.84 and 1,152.56

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Solution

The fourth proportional to 1,484.72, 2,049.84 and 1,152.56 is: 1,591.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.72 : 2,049.84 = 1,152.56 : x
  2. Step 2: Convert to fraction form
    1,484.72/2,049.84 = 1,152.56/x
  3. Step 3: Cross multiply
    1,484.72x = 2,049.84 × 1,152.56
  4. Step 4: Simplify right side
    1,484.72x = 2,362,563.59
  5. Step 5: Solve for x
    x = 2,362,563.59/1,484.72
  6. Step 6: Final answer
    x = 1,591.25

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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.