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Finding the Fourth Proportional to 1,360.16, 1,874 and 961.68

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Solution

The fourth proportional to 1,360.16, 1,874 and 961.68 is: 1,324.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.16 : 1,874 = 961.68 : x
  2. Step 2: Convert to fraction form
    1,360.16/1,874 = 961.68/x
  3. Step 3: Cross multiply
    1,360.16x = 1,874 × 961.68
  4. Step 4: Simplify right side
    1,360.16x = 1,802,188.32
  5. Step 5: Solve for x
    x = 1,802,188.32/1,360.16
  6. Step 6: Final answer
    x = 1,324.98

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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.