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Finding the Fourth Proportional to 2,871.24, 4,298.72 and 1,828.65

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Solution

The fourth proportional to 2,871.24, 4,298.72 and 1,828.65 is: 2,737.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.24 : 4,298.72 = 1,828.65 : x
  2. Step 2: Convert to fraction form
    2,871.24/4,298.72 = 1,828.65/x
  3. Step 3: Cross multiply
    2,871.24x = 4,298.72 × 1,828.65
  4. Step 4: Simplify right side
    2,871.24x = 7,860,845.18
  5. Step 5: Solve for x
    x = 7,860,845.18/2,871.24
  6. Step 6: Final answer
    x = 2,737.79

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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.