Home / 1,653.85-2,282.17-945.55

Finding the Fourth Proportional to 1,653.85, 2,282.17 and 945.55

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Solution

The fourth proportional to 1,653.85, 2,282.17 and 945.55 is: 1,304.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.85 : 2,282.17 = 945.55 : x
  2. Step 2: Convert to fraction form
    1,653.85/2,282.17 = 945.55/x
  3. Step 3: Cross multiply
    1,653.85x = 2,282.17 × 945.55
  4. Step 4: Simplify right side
    1,653.85x = 2,157,905.84
  5. Step 5: Solve for x
    x = 2,157,905.84/1,653.85
  6. Step 6: Final answer
    x = 1,304.78

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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.