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Finding the Fourth Proportional to 2,140.39, 3,210.59 and 679.67

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Solution

The fourth proportional to 2,140.39, 3,210.59 and 679.67 is: 1,019.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.39 : 3,210.59 = 679.67 : x
  2. Step 2: Convert to fraction form
    2,140.39/3,210.59 = 679.67/x
  3. Step 3: Cross multiply
    2,140.39x = 3,210.59 × 679.67
  4. Step 4: Simplify right side
    2,140.39x = 2,182,141.71
  5. Step 5: Solve for x
    x = 2,182,141.71/2,140.39
  6. Step 6: Final answer
    x = 1,019.51

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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.