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Finding the Fourth Proportional to 1,460.45, 2,014.93 and 936.79

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Solution

The fourth proportional to 1,460.45, 2,014.93 and 936.79 is: 1,292.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.45 : 2,014.93 = 936.79 : x
  2. Step 2: Convert to fraction form
    1,460.45/2,014.93 = 936.79/x
  3. Step 3: Cross multiply
    1,460.45x = 2,014.93 × 936.79
  4. Step 4: Simplify right side
    1,460.45x = 1,887,566.27
  5. Step 5: Solve for x
    x = 1,887,566.27/1,460.45
  6. Step 6: Final answer
    x = 1,292.46

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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.