Home / 1,654.20-2,282.70-946.08

Finding the Fourth Proportional to 1,654.20, 2,282.70 and 946.08

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Solution

The fourth proportional to 1,654.20, 2,282.70 and 946.08 is: 1,305.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.20 : 2,282.70 = 946.08 : x
  2. Step 2: Convert to fraction form
    1,654.20/2,282.70 = 946.08/x
  3. Step 3: Cross multiply
    1,654.20x = 2,282.70 × 946.08
  4. Step 4: Simplify right side
    1,654.20x = 2,159,616.82
  5. Step 5: Solve for x
    x = 2,159,616.82/1,654.20
  6. Step 6: Final answer
    x = 1,305.54

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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.