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Finding the Fourth Proportional to 2,405.46, 3,320.67 and 1,410.42

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Solution

The fourth proportional to 2,405.46, 3,320.67 and 1,410.42 is: 1,947.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.46 : 3,320.67 = 1,410.42 : x
  2. Step 2: Convert to fraction form
    2,405.46/3,320.67 = 1,410.42/x
  3. Step 3: Cross multiply
    2,405.46x = 3,320.67 × 1,410.42
  4. Step 4: Simplify right side
    2,405.46x = 4,683,539.38
  5. Step 5: Solve for x
    x = 4,683,539.38/2,405.46
  6. Step 6: Final answer
    x = 1,947.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.