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Finding the Fourth Proportional to 2,296.66, 3,445 and 980.22

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Solution

The fourth proportional to 2,296.66, 3,445 and 980.22 is: 1,470.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.66 : 3,445 = 980.22 : x
  2. Step 2: Convert to fraction form
    2,296.66/3,445 = 980.22/x
  3. Step 3: Cross multiply
    2,296.66x = 3,445 × 980.22
  4. Step 4: Simplify right side
    2,296.66x = 3,376,857.90
  5. Step 5: Solve for x
    x = 3,376,857.90/2,296.66
  6. Step 6: Final answer
    x = 1,470.33

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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.