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Finding the Fourth Proportional to 2,675.85, 4,015.53 and 944.46

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Solution

The fourth proportional to 2,675.85, 4,015.53 and 944.46 is: 1,417.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.85 : 4,015.53 = 944.46 : x
  2. Step 2: Convert to fraction form
    2,675.85/4,015.53 = 944.46/x
  3. Step 3: Cross multiply
    2,675.85x = 4,015.53 × 944.46
  4. Step 4: Simplify right side
    2,675.85x = 3,792,507.46
  5. Step 5: Solve for x
    x = 3,792,507.46/2,675.85
  6. Step 6: Final answer
    x = 1,417.31

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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.