Home / 1,654.85-2,283.55-946.55

Finding the Fourth Proportional to 1,654.85, 2,283.55 and 946.55

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Solution

The fourth proportional to 1,654.85, 2,283.55 and 946.55 is: 1,306.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.85 : 2,283.55 = 946.55 : x
  2. Step 2: Convert to fraction form
    1,654.85/2,283.55 = 946.55/x
  3. Step 3: Cross multiply
    1,654.85x = 2,283.55 × 946.55
  4. Step 4: Simplify right side
    1,654.85x = 2,161,494.25
  5. Step 5: Solve for x
    x = 2,161,494.25/1,654.85
  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.