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Finding the Fourth Proportional to 1,496.60, 2,065.08 and 936.80

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Solution

The fourth proportional to 1,496.60, 2,065.08 and 936.80 is: 1,292.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.60 : 2,065.08 = 936.80 : x
  2. Step 2: Convert to fraction form
    1,496.60/2,065.08 = 936.80/x
  3. Step 3: Cross multiply
    1,496.60x = 2,065.08 × 936.80
  4. Step 4: Simplify right side
    1,496.60x = 1,934,566.94
  5. Step 5: Solve for x
    x = 1,934,566.94/1,496.60
  6. Step 6: Final answer
    x = 1,292.64

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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.