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Finding the Fourth Proportional to 1,299.70, 1,959.24 and 1,215.06

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Solution

The fourth proportional to 1,299.70, 1,959.24 and 1,215.06 is: 1,831.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.70 : 1,959.24 = 1,215.06 : x
  2. Step 2: Convert to fraction form
    1,299.70/1,959.24 = 1,215.06/x
  3. Step 3: Cross multiply
    1,299.70x = 1,959.24 × 1,215.06
  4. Step 4: Simplify right side
    1,299.70x = 2,380,594.15
  5. Step 5: Solve for x
    x = 2,380,594.15/1,299.70
  6. Step 6: Final answer
    x = 1,831.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.