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Finding the Fourth Proportional to 2,095.44, 2,889.63 and 1,652.46

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Solution

The fourth proportional to 2,095.44, 2,889.63 and 1,652.46 is: 2,278.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.44 : 2,889.63 = 1,652.46 : x
  2. Step 2: Convert to fraction form
    2,095.44/2,889.63 = 1,652.46/x
  3. Step 3: Cross multiply
    2,095.44x = 2,889.63 × 1,652.46
  4. Step 4: Simplify right side
    2,095.44x = 4,774,997.99
  5. Step 5: Solve for x
    x = 4,774,997.99/2,095.44
  6. Step 6: Final answer
    x = 2,278.76

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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.