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Finding the Fourth Proportional to 2,140.64, 3,209.76 and 679.40

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Solution

The fourth proportional to 2,140.64, 3,209.76 and 679.40 is: 1,018.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.64 : 3,209.76 = 679.40 : x
  2. Step 2: Convert to fraction form
    2,140.64/3,209.76 = 679.40/x
  3. Step 3: Cross multiply
    2,140.64x = 3,209.76 × 679.40
  4. Step 4: Simplify right side
    2,140.64x = 2,180,710.94
  5. Step 5: Solve for x
    x = 2,180,710.94/2,140.64
  6. Step 6: Final answer
    x = 1,018.72

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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.