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Finding the Fourth Proportional to 1,460.30, 2,015.28 and 797.18

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Solution

The fourth proportional to 1,460.30, 2,015.28 and 797.18 is: 1,100.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.30 : 2,015.28 = 797.18 : x
  2. Step 2: Convert to fraction form
    1,460.30/2,015.28 = 797.18/x
  3. Step 3: Cross multiply
    1,460.30x = 2,015.28 × 797.18
  4. Step 4: Simplify right side
    1,460.30x = 1,606,530.83
  5. Step 5: Solve for x
    x = 1,606,530.83/1,460.30
  6. Step 6: Final answer
    x = 1,100.14

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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.