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Finding the Fourth Proportional to 1,601.64, 2,208.87 and 1,076.76

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Solution

The fourth proportional to 1,601.64, 2,208.87 and 1,076.76 is: 1,484.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.64 : 2,208.87 = 1,076.76 : x
  2. Step 2: Convert to fraction form
    1,601.64/2,208.87 = 1,076.76/x
  3. Step 3: Cross multiply
    1,601.64x = 2,208.87 × 1,076.76
  4. Step 4: Simplify right side
    1,601.64x = 2,378,422.86
  5. Step 5: Solve for x
    x = 2,378,422.86/1,601.64
  6. Step 6: Final answer
    x = 1,484.99

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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.