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Finding the Fourth Proportional to 2,035.82, 2,808.96 and 1,406.90

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Solution

The fourth proportional to 2,035.82, 2,808.96 and 1,406.90 is: 1,941.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.82 : 2,808.96 = 1,406.90 : x
  2. Step 2: Convert to fraction form
    2,035.82/2,808.96 = 1,406.90/x
  3. Step 3: Cross multiply
    2,035.82x = 2,808.96 × 1,406.90
  4. Step 4: Simplify right side
    2,035.82x = 3,951,925.82
  5. Step 5: Solve for x
    x = 3,951,925.82/2,035.82
  6. Step 6: Final answer
    x = 1,941.20

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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.