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Finding the Fourth Proportional to 1,329.12, 1,984.19 and 1,319.94

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Solution

The fourth proportional to 1,329.12, 1,984.19 and 1,319.94 is: 1,970.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.12 : 1,984.19 = 1,319.94 : x
  2. Step 2: Convert to fraction form
    1,329.12/1,984.19 = 1,319.94/x
  3. Step 3: Cross multiply
    1,329.12x = 1,984.19 × 1,319.94
  4. Step 4: Simplify right side
    1,329.12x = 2,619,005.15
  5. Step 5: Solve for x
    x = 2,619,005.15/1,329.12
  6. Step 6: Final answer
    x = 1,970.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.