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Finding the Fourth Proportional to 1,601.16, 2,209.86 and 902.76

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Solution

The fourth proportional to 1,601.16, 2,209.86 and 902.76 is: 1,245.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.16 : 2,209.86 = 902.76 : x
  2. Step 2: Convert to fraction form
    1,601.16/2,209.86 = 902.76/x
  3. Step 3: Cross multiply
    1,601.16x = 2,209.86 × 902.76
  4. Step 4: Simplify right side
    1,601.16x = 1,994,973.21
  5. Step 5: Solve for x
    x = 1,994,973.21/1,601.16
  6. Step 6: Final answer
    x = 1,245.95

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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.