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Finding the Fourth Proportional to 2,019.46, 3,026.34 and 1,606.76

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Solution

The fourth proportional to 2,019.46, 3,026.34 and 1,606.76 is: 2,407.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.46 : 3,026.34 = 1,606.76 : x
  2. Step 2: Convert to fraction form
    2,019.46/3,026.34 = 1,606.76/x
  3. Step 3: Cross multiply
    2,019.46x = 3,026.34 × 1,606.76
  4. Step 4: Simplify right side
    2,019.46x = 4,862,602.06
  5. Step 5: Solve for x
    x = 4,862,602.06/2,019.46
  6. Step 6: Final answer
    x = 2,407.87

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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.