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Finding the Fourth Proportional to 2,619.34, 3,929.57 and 770.30

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Solution

The fourth proportional to 2,619.34, 3,929.57 and 770.30 is: 1,155.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619.34 : 3,929.57 = 770.30 : x
  2. Step 2: Convert to fraction form
    2,619.34/3,929.57 = 770.30/x
  3. Step 3: Cross multiply
    2,619.34x = 3,929.57 × 770.30
  4. Step 4: Simplify right side
    2,619.34x = 3,026,955.77
  5. Step 5: Solve for x
    x = 3,026,955.77/2,619.34
  6. Step 6: Final answer
    x = 1,155.62

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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.