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Finding the Fourth Proportional to 3,412.81, 5,119.82 and 1,411.50

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Solution

The fourth proportional to 3,412.81, 5,119.82 and 1,411.50 is: 2,117.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.81 : 5,119.82 = 1,411.50 : x
  2. Step 2: Convert to fraction form
    3,412.81/5,119.82 = 1,411.50/x
  3. Step 3: Cross multiply
    3,412.81x = 5,119.82 × 1,411.50
  4. Step 4: Simplify right side
    3,412.81x = 7,226,621.85
  5. Step 5: Solve for x
    x = 7,226,621.85/3,412.81
  6. Step 6: Final answer
    x = 2,117.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.