Home / 1,654.86-2,283.47-946.59

Finding the Fourth Proportional to 1,654.86, 2,283.47 and 946.59

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Solution

The fourth proportional to 1,654.86, 2,283.47 and 946.59 is: 1,306.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.86 : 2,283.47 = 946.59 : x
  2. Step 2: Convert to fraction form
    1,654.86/2,283.47 = 946.59/x
  3. Step 3: Cross multiply
    1,654.86x = 2,283.47 × 946.59
  4. Step 4: Simplify right side
    1,654.86x = 2,161,517.25
  5. Step 5: Solve for x
    x = 2,161,517.25/1,654.86
  6. Step 6: Final answer
    x = 1,306.16

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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.