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Finding the Fourth Proportional to 2,004.07, 2,765.49 and 1,258

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Solution

The fourth proportional to 2,004.07, 2,765.49 and 1,258 is: 1,735.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.07 : 2,765.49 = 1,258 : x
  2. Step 2: Convert to fraction form
    2,004.07/2,765.49 = 1,258/x
  3. Step 3: Cross multiply
    2,004.07x = 2,765.49 × 1,258
  4. Step 4: Simplify right side
    2,004.07x = 3,478,986.42
  5. Step 5: Solve for x
    x = 3,478,986.42/2,004.07
  6. Step 6: Final answer
    x = 1,735.96

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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.