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Finding the Fourth Proportional to 2,976.70, 4,463.74 and 1,417.14

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Solution

The fourth proportional to 2,976.70, 4,463.74 and 1,417.14 is: 2,125.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.70 : 4,463.74 = 1,417.14 : x
  2. Step 2: Convert to fraction form
    2,976.70/4,463.74 = 1,417.14/x
  3. Step 3: Cross multiply
    2,976.70x = 4,463.74 × 1,417.14
  4. Step 4: Simplify right side
    2,976.70x = 6,325,744.50
  5. Step 5: Solve for x
    x = 6,325,744.50/2,976.70
  6. Step 6: Final answer
    x = 2,125.09

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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.