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Finding the Fourth Proportional to 2,924.95, 4,389.20 and 1,539.28

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Solution

The fourth proportional to 2,924.95, 4,389.20 and 1,539.28 is: 2,309.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924.95 : 4,389.20 = 1,539.28 : x
  2. Step 2: Convert to fraction form
    2,924.95/4,389.20 = 1,539.28/x
  3. Step 3: Cross multiply
    2,924.95x = 4,389.20 × 1,539.28
  4. Step 4: Simplify right side
    2,924.95x = 6,756,200.65
  5. Step 5: Solve for x
    x = 6,756,200.65/2,924.95
  6. Step 6: Final answer
    x = 2,309.85

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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.