Home / 1,546.14-2,133.70-882.96

Finding the Fourth Proportional to 1,546.14, 2,133.70 and 882.96

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Solution

The fourth proportional to 1,546.14, 2,133.70 and 882.96 is: 1,218.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.14 : 2,133.70 = 882.96 : x
  2. Step 2: Convert to fraction form
    1,546.14/2,133.70 = 882.96/x
  3. Step 3: Cross multiply
    1,546.14x = 2,133.70 × 882.96
  4. Step 4: Simplify right side
    1,546.14x = 1,883,971.75
  5. Step 5: Solve for x
    x = 1,883,971.75/1,546.14
  6. Step 6: Final answer
    x = 1,218.50

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1.5x scale

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.