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Finding the Fourth Proportional to 2,206.79, 3,309.53 and 973.88

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Solution

The fourth proportional to 2,206.79, 3,309.53 and 973.88 is: 1,460.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.79 : 3,309.53 = 973.88 : x
  2. Step 2: Convert to fraction form
    2,206.79/3,309.53 = 973.88/x
  3. Step 3: Cross multiply
    2,206.79x = 3,309.53 × 973.88
  4. Step 4: Simplify right side
    2,206.79x = 3,223,063.66
  5. Step 5: Solve for x
    x = 3,223,063.66/2,206.79
  6. Step 6: Final answer
    x = 1,460.52

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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.