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Finding the Fourth Proportional to 1,950.12, 2,927.48 and 1,539.54

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Solution

The fourth proportional to 1,950.12, 2,927.48 and 1,539.54 is: 2,311.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.12 : 2,927.48 = 1,539.54 : x
  2. Step 2: Convert to fraction form
    1,950.12/2,927.48 = 1,539.54/x
  3. Step 3: Cross multiply
    1,950.12x = 2,927.48 × 1,539.54
  4. Step 4: Simplify right side
    1,950.12x = 4,506,972.56
  5. Step 5: Solve for x
    x = 4,506,972.56/1,950.12
  6. Step 6: Final answer
    x = 2,311.13

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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.