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Finding the Fourth Proportional to 2,705.90, 4,056.39 and 1,403.42

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Solution

The fourth proportional to 2,705.90, 4,056.39 and 1,403.42 is: 2,103.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.90 : 4,056.39 = 1,403.42 : x
  2. Step 2: Convert to fraction form
    2,705.90/4,056.39 = 1,403.42/x
  3. Step 3: Cross multiply
    2,705.90x = 4,056.39 × 1,403.42
  4. Step 4: Simplify right side
    2,705.90x = 5,692,818.85
  5. Step 5: Solve for x
    x = 5,692,818.85/2,705.90
  6. Step 6: Final answer
    x = 2,103.85

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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.