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Finding the Fourth Proportional to 1,460.70, 2,014.74 and 936.90

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Solution

The fourth proportional to 1,460.70, 2,014.74 and 936.90 is: 1,292.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.70 : 2,014.74 = 936.90 : x
  2. Step 2: Convert to fraction form
    1,460.70/2,014.74 = 936.90/x
  3. Step 3: Cross multiply
    1,460.70x = 2,014.74 × 936.90
  4. Step 4: Simplify right side
    1,460.70x = 1,887,609.91
  5. Step 5: Solve for x
    x = 1,887,609.91/1,460.70
  6. Step 6: Final answer
    x = 1,292.26

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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.