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Finding the Fourth Proportional to 2,004.08, 2,765.48 and 1,258

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Solution

The fourth proportional to 2,004.08, 2,765.48 and 1,258 is: 1,735.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.08 : 2,765.48 = 1,258 : x
  2. Step 2: Convert to fraction form
    2,004.08/2,765.48 = 1,258/x
  3. Step 3: Cross multiply
    2,004.08x = 2,765.48 × 1,258
  4. Step 4: Simplify right side
    2,004.08x = 3,478,973.84
  5. Step 5: Solve for x
    x = 3,478,973.84/2,004.08
  6. Step 6: Final answer
    x = 1,735.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.