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Finding the Fourth Proportional to 3,178, 4,769.16 and 1,126

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Solution

The fourth proportional to 3,178, 4,769.16 and 1,126 is: 1,689.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178 : 4,769.16 = 1,126 : x
  2. Step 2: Convert to fraction form
    3,178/4,769.16 = 1,126/x
  3. Step 3: Cross multiply
    3,178x = 4,769.16 × 1,126
  4. Step 4: Simplify right side
    3,178x = 5,370,074.16
  5. Step 5: Solve for x
    x = 5,370,074.16/3,178
  6. Step 6: Final answer
    x = 1,689.77

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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.