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Finding the Fourth Proportional to 2,177.35, 3,265.88 and 945.65

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Solution

The fourth proportional to 2,177.35, 3,265.88 and 945.65 is: 1,418.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.35 : 3,265.88 = 945.65 : x
  2. Step 2: Convert to fraction form
    2,177.35/3,265.88 = 945.65/x
  3. Step 3: Cross multiply
    2,177.35x = 3,265.88 × 945.65
  4. Step 4: Simplify right side
    2,177.35x = 3,088,358.36
  5. Step 5: Solve for x
    x = 3,088,358.36/2,177.35
  6. Step 6: Final answer
    x = 1,418.40

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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.