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Finding the Fourth Proportional to 2,205.65, 3,308.75 and 973.37

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Solution

The fourth proportional to 2,205.65, 3,308.75 and 973.37 is: 1,460.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.65 : 3,308.75 = 973.37 : x
  2. Step 2: Convert to fraction form
    2,205.65/3,308.75 = 973.37/x
  3. Step 3: Cross multiply
    2,205.65x = 3,308.75 × 973.37
  4. Step 4: Simplify right side
    2,205.65x = 3,220,637.99
  5. Step 5: Solve for x
    x = 3,220,637.99/2,205.65
  6. Step 6: Final answer
    x = 1,460.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.