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Finding the Fourth Proportional to 1,975.34, 2,963.11 and 879.72

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Solution

The fourth proportional to 1,975.34, 2,963.11 and 879.72 is: 1,319.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.34 : 2,963.11 = 879.72 : x
  2. Step 2: Convert to fraction form
    1,975.34/2,963.11 = 879.72/x
  3. Step 3: Cross multiply
    1,975.34x = 2,963.11 × 879.72
  4. Step 4: Simplify right side
    1,975.34x = 2,606,707.13
  5. Step 5: Solve for x
    x = 2,606,707.13/1,975.34
  6. Step 6: Final answer
    x = 1,319.62

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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.