Home / 1,654.63-2,283.19-946.62

Finding the Fourth Proportional to 1,654.63, 2,283.19 and 946.62

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Solution

The fourth proportional to 1,654.63, 2,283.19 and 946.62 is: 1,306.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.63 : 2,283.19 = 946.62 : x
  2. Step 2: Convert to fraction form
    1,654.63/2,283.19 = 946.62/x
  3. Step 3: Cross multiply
    1,654.63x = 2,283.19 × 946.62
  4. Step 4: Simplify right side
    1,654.63x = 2,161,310.95
  5. Step 5: Solve for x
    x = 2,161,310.95/1,654.63
  6. Step 6: Final answer
    x = 1,306.22

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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.