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Finding the Fourth Proportional to 2,140.54, 3,210.86 and 679.70

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Solution

The fourth proportional to 2,140.54, 3,210.86 and 679.70 is: 1,019.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.54 : 3,210.86 = 679.70 : x
  2. Step 2: Convert to fraction form
    2,140.54/3,210.86 = 679.70/x
  3. Step 3: Cross multiply
    2,140.54x = 3,210.86 × 679.70
  4. Step 4: Simplify right side
    2,140.54x = 2,182,421.54
  5. Step 5: Solve for x
    x = 2,182,421.54/2,140.54
  6. Step 6: Final answer
    x = 1,019.57

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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.