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Finding the Fourth Proportional to 1,921.92, 2,652.64 and 1,094.08

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Solution

The fourth proportional to 1,921.92, 2,652.64 and 1,094.08 is: 1,510.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.92 : 2,652.64 = 1,094.08 : x
  2. Step 2: Convert to fraction form
    1,921.92/2,652.64 = 1,094.08/x
  3. Step 3: Cross multiply
    1,921.92x = 2,652.64 × 1,094.08
  4. Step 4: Simplify right side
    1,921.92x = 2,902,200.37
  5. Step 5: Solve for x
    x = 2,902,200.37/1,921.92
  6. Step 6: Final answer
    x = 1,510.05

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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.