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Finding the Fourth Proportional to 2,313.72, 3,191.04 and 1,428.66

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Solution

The fourth proportional to 2,313.72, 3,191.04 and 1,428.66 is: 1,970.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.72 : 3,191.04 = 1,428.66 : x
  2. Step 2: Convert to fraction form
    2,313.72/3,191.04 = 1,428.66/x
  3. Step 3: Cross multiply
    2,313.72x = 3,191.04 × 1,428.66
  4. Step 4: Simplify right side
    2,313.72x = 4,558,911.21
  5. Step 5: Solve for x
    x = 4,558,911.21/2,313.72
  6. Step 6: Final answer
    x = 1,970.38

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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.