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Finding the Fourth Proportional to 1,319.36, 1,982.10 and 1,248.50

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Solution

The fourth proportional to 1,319.36, 1,982.10 and 1,248.50 is: 1,875.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.36 : 1,982.10 = 1,248.50 : x
  2. Step 2: Convert to fraction form
    1,319.36/1,982.10 = 1,248.50/x
  3. Step 3: Cross multiply
    1,319.36x = 1,982.10 × 1,248.50
  4. Step 4: Simplify right side
    1,319.36x = 2,474,651.85
  5. Step 5: Solve for x
    x = 2,474,651.85/1,319.36
  6. Step 6: Final answer
    x = 1,875.65

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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.