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Finding the Fourth Proportional to 2,405.85, 3,319.43 and 1,410.90

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Solution

The fourth proportional to 2,405.85, 3,319.43 and 1,410.90 is: 1,946.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.85 : 3,319.43 = 1,410.90 : x
  2. Step 2: Convert to fraction form
    2,405.85/3,319.43 = 1,410.90/x
  3. Step 3: Cross multiply
    2,405.85x = 3,319.43 × 1,410.90
  4. Step 4: Simplify right side
    2,405.85x = 4,683,376.73
  5. Step 5: Solve for x
    x = 4,683,376.73/2,405.85
  6. Step 6: Final answer
    x = 1,946.66

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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.