Home / 1,601.23-2,209.65-902.59

Finding the Fourth Proportional to 1,601.23, 2,209.65 and 902.59

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Solution

The fourth proportional to 1,601.23, 2,209.65 and 902.59 is: 1,245.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.23 : 2,209.65 = 902.59 : x
  2. Step 2: Convert to fraction form
    1,601.23/2,209.65 = 902.59/x
  3. Step 3: Cross multiply
    1,601.23x = 2,209.65 × 902.59
  4. Step 4: Simplify right side
    1,601.23x = 1,994,407.99
  5. Step 5: Solve for x
    x = 1,994,407.99/1,601.23
  6. Step 6: Final answer
    x = 1,245.55

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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.