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Finding the Fourth Proportional to 1,923.98, 2,886.51 and 770.54

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Solution

The fourth proportional to 1,923.98, 2,886.51 and 770.54 is: 1,156.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.98 : 2,886.51 = 770.54 : x
  2. Step 2: Convert to fraction form
    1,923.98/2,886.51 = 770.54/x
  3. Step 3: Cross multiply
    1,923.98x = 2,886.51 × 770.54
  4. Step 4: Simplify right side
    1,923.98x = 2,224,171.42
  5. Step 5: Solve for x
    x = 2,224,171.42/1,923.98
  6. Step 6: Final answer
    x = 1,156.03

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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.