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Finding the Fourth Proportional to 2,544.85, 3,512.07 and 1,426

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Solution

The fourth proportional to 2,544.85, 3,512.07 and 1,426 is: 1,967.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.85 : 3,512.07 = 1,426 : x
  2. Step 2: Convert to fraction form
    2,544.85/3,512.07 = 1,426/x
  3. Step 3: Cross multiply
    2,544.85x = 3,512.07 × 1,426
  4. Step 4: Simplify right side
    2,544.85x = 5,008,211.82
  5. Step 5: Solve for x
    x = 5,008,211.82/2,544.85
  6. Step 6: Final answer
    x = 1,967.98

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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.