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Finding the Fourth Proportional to 2,544.45, 3,510.87 and 1,425.40

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Solution

The fourth proportional to 2,544.45, 3,510.87 and 1,425.40 is: 1,966.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.45 : 3,510.87 = 1,425.40 : x
  2. Step 2: Convert to fraction form
    2,544.45/3,510.87 = 1,425.40/x
  3. Step 3: Cross multiply
    2,544.45x = 3,510.87 × 1,425.40
  4. Step 4: Simplify right side
    2,544.45x = 5,004,394.10
  5. Step 5: Solve for x
    x = 5,004,394.10/2,544.45
  6. Step 6: Final answer
    x = 1,966.79

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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.