Home / 1,654.33-2,283.16-946.24

Finding the Fourth Proportional to 1,654.33, 2,283.16 and 946.24

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Solution

The fourth proportional to 1,654.33, 2,283.16 and 946.24 is: 1,305.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.33 : 2,283.16 = 946.24 : x
  2. Step 2: Convert to fraction form
    1,654.33/2,283.16 = 946.24/x
  3. Step 3: Cross multiply
    1,654.33x = 2,283.16 × 946.24
  4. Step 4: Simplify right side
    1,654.33x = 2,160,408.36
  5. Step 5: Solve for x
    x = 2,160,408.36/1,654.33
  6. Step 6: Final answer
    x = 1,305.91

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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.