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Finding the Fourth Proportional to 2,177.40, 3,258.01 and 1,300.40

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Solution

The fourth proportional to 2,177.40, 3,258.01 and 1,300.40 is: 1,945.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.40 : 3,258.01 = 1,300.40 : x
  2. Step 2: Convert to fraction form
    2,177.40/3,258.01 = 1,300.40/x
  3. Step 3: Cross multiply
    2,177.40x = 3,258.01 × 1,300.40
  4. Step 4: Simplify right side
    2,177.40x = 4,236,716.20
  5. Step 5: Solve for x
    x = 4,236,716.20/2,177.40
  6. Step 6: Final answer
    x = 1,945.77

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