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Finding the Fourth Proportional to 2,073.32, 3,109.88 and 774.69

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Solution

The fourth proportional to 2,073.32, 3,109.88 and 774.69 is: 1,162.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.32 : 3,109.88 = 774.69 : x
  2. Step 2: Convert to fraction form
    2,073.32/3,109.88 = 774.69/x
  3. Step 3: Cross multiply
    2,073.32x = 3,109.88 × 774.69
  4. Step 4: Simplify right side
    2,073.32x = 2,409,189.06
  5. Step 5: Solve for x
    x = 2,409,189.06/2,073.32
  6. Step 6: Final answer
    x = 1,162.00

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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.