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Finding the Fourth Proportional to 1,460.64, 2,015.04 and 936.48

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Solution

The fourth proportional to 1,460.64, 2,015.04 and 936.48 is: 1,291.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.64 : 2,015.04 = 936.48 : x
  2. Step 2: Convert to fraction form
    1,460.64/2,015.04 = 936.48/x
  3. Step 3: Cross multiply
    1,460.64x = 2,015.04 × 936.48
  4. Step 4: Simplify right side
    1,460.64x = 1,887,044.66
  5. Step 5: Solve for x
    x = 1,887,044.66/1,460.64
  6. Step 6: Final answer
    x = 1,291.93

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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.