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Finding the Fourth Proportional to 2,497.98, 3,745.88 and 1,265.98

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Solution

The fourth proportional to 2,497.98, 3,745.88 and 1,265.98 is: 1,898.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.98 : 3,745.88 = 1,265.98 : x
  2. Step 2: Convert to fraction form
    2,497.98/3,745.88 = 1,265.98/x
  3. Step 3: Cross multiply
    2,497.98x = 3,745.88 × 1,265.98
  4. Step 4: Simplify right side
    2,497.98x = 4,742,209.16
  5. Step 5: Solve for x
    x = 4,742,209.16/2,497.98
  6. Step 6: Final answer
    x = 1,898.42

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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.