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Finding the Fourth Proportional to 1,504.64, 2,258.08 and 1,120

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Solution

The fourth proportional to 1,504.64, 2,258.08 and 1,120 is: 1,680.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.64 : 2,258.08 = 1,120 : x
  2. Step 2: Convert to fraction form
    1,504.64/2,258.08 = 1,120/x
  3. Step 3: Cross multiply
    1,504.64x = 2,258.08 × 1,120
  4. Step 4: Simplify right side
    1,504.64x = 2,529,049.60
  5. Step 5: Solve for x
    x = 2,529,049.60/1,504.64
  6. Step 6: Final answer
    x = 1,680.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.