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Finding the Fourth Proportional to 2,140.60, 3,210.36 and 842.08

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Solution

The fourth proportional to 2,140.60, 3,210.36 and 842.08 is: 1,262.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.60 : 3,210.36 = 842.08 : x
  2. Step 2: Convert to fraction form
    2,140.60/3,210.36 = 842.08/x
  3. Step 3: Cross multiply
    2,140.60x = 3,210.36 × 842.08
  4. Step 4: Simplify right side
    2,140.60x = 2,703,379.95
  5. Step 5: Solve for x
    x = 2,703,379.95/2,140.60
  6. Step 6: Final answer
    x = 1,262.91

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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.