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Finding the Fourth Proportional to 1,486.36, 2,230.08 and 756.28

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Solution

The fourth proportional to 1,486.36, 2,230.08 and 756.28 is: 1,134.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.36 : 2,230.08 = 756.28 : x
  2. Step 2: Convert to fraction form
    1,486.36/2,230.08 = 756.28/x
  3. Step 3: Cross multiply
    1,486.36x = 2,230.08 × 756.28
  4. Step 4: Simplify right side
    1,486.36x = 1,686,564.90
  5. Step 5: Solve for x
    x = 1,686,564.90/1,486.36
  6. Step 6: Final answer
    x = 1,134.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.