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Finding the Fourth Proportional to 2,207.04, 3,309.53 and 974.80

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Solution

The fourth proportional to 2,207.04, 3,309.53 and 974.80 is: 1,461.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.04 : 3,309.53 = 974.80 : x
  2. Step 2: Convert to fraction form
    2,207.04/3,309.53 = 974.80/x
  3. Step 3: Cross multiply
    2,207.04x = 3,309.53 × 974.80
  4. Step 4: Simplify right side
    2,207.04x = 3,226,129.11
  5. Step 5: Solve for x
    x = 3,226,129.11/2,207.04
  6. Step 6: Final answer
    x = 1,461.75

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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.