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Finding the Fourth Proportional to 1,924.44, 2,886.66 and 770.19

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Solution

The fourth proportional to 1,924.44, 2,886.66 and 770.19 is: 1,155.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.44 : 2,886.66 = 770.19 : x
  2. Step 2: Convert to fraction form
    1,924.44/2,886.66 = 770.19/x
  3. Step 3: Cross multiply
    1,924.44x = 2,886.66 × 770.19
  4. Step 4: Simplify right side
    1,924.44x = 2,223,276.67
  5. Step 5: Solve for x
    x = 2,223,276.67/1,924.44
  6. Step 6: Final answer
    x = 1,155.29

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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.