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Finding the Fourth Proportional to 1,379.97, 1,903.97 and 1,310.72

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Solution

The fourth proportional to 1,379.97, 1,903.97 and 1,310.72 is: 1,808.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.97 : 1,903.97 = 1,310.72 : x
  2. Step 2: Convert to fraction form
    1,379.97/1,903.97 = 1,310.72/x
  3. Step 3: Cross multiply
    1,379.97x = 1,903.97 × 1,310.72
  4. Step 4: Simplify right side
    1,379.97x = 2,495,565.32
  5. Step 5: Solve for x
    x = 2,495,565.32/1,379.97
  6. Step 6: Final answer
    x = 1,808.42

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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.