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Finding the Fourth Proportional to 2,177.76, 3,265.02 and 944.13

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Solution

The fourth proportional to 2,177.76, 3,265.02 and 944.13 is: 1,415.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.76 : 3,265.02 = 944.13 : x
  2. Step 2: Convert to fraction form
    2,177.76/3,265.02 = 944.13/x
  3. Step 3: Cross multiply
    2,177.76x = 3,265.02 × 944.13
  4. Step 4: Simplify right side
    2,177.76x = 3,082,603.33
  5. Step 5: Solve for x
    x = 3,082,603.33/2,177.76
  6. Step 6: Final answer
    x = 1,415.49

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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.