Home / 1,546.12-2,314.16-1,135.16

Finding the Fourth Proportional to 1,546.12, 2,314.16 and 1,135.16

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Solution

The fourth proportional to 1,546.12, 2,314.16 and 1,135.16 is: 1,699.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.12 : 2,314.16 = 1,135.16 : x
  2. Step 2: Convert to fraction form
    1,546.12/2,314.16 = 1,135.16/x
  3. Step 3: Cross multiply
    1,546.12x = 2,314.16 × 1,135.16
  4. Step 4: Simplify right side
    1,546.12x = 2,626,936.19
  5. Step 5: Solve for x
    x = 2,626,936.19/1,546.12
  6. Step 6: Final answer
    x = 1,699.06

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Why These Related Problems?

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