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Finding the Fourth Proportional to 2,405.66, 3,319.06 and 1,410.98

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Solution

The fourth proportional to 2,405.66, 3,319.06 and 1,410.98 is: 1,946.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.66 : 3,319.06 = 1,410.98 : x
  2. Step 2: Convert to fraction form
    2,405.66/3,319.06 = 1,410.98/x
  3. Step 3: Cross multiply
    2,405.66x = 3,319.06 × 1,410.98
  4. Step 4: Simplify right side
    2,405.66x = 4,683,120.22
  5. Step 5: Solve for x
    x = 4,683,120.22/2,405.66
  6. Step 6: Final answer
    x = 1,946.71

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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.