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Finding the Fourth Proportional to 1,460.32, 2,015.27 and 797.18

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Solution

The fourth proportional to 1,460.32, 2,015.27 and 797.18 is: 1,100.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.32 : 2,015.27 = 797.18 : x
  2. Step 2: Convert to fraction form
    1,460.32/2,015.27 = 797.18/x
  3. Step 3: Cross multiply
    1,460.32x = 2,015.27 × 797.18
  4. Step 4: Simplify right side
    1,460.32x = 1,606,532.94
  5. Step 5: Solve for x
    x = 1,606,532.94/1,460.32
  6. Step 6: Final answer
    x = 1,100.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.