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Finding the Fourth Proportional to 2,077.53, 2,865.33 and 1,828.32

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Solution

The fourth proportional to 2,077.53, 2,865.33 and 1,828.32 is: 2,521.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.53 : 2,865.33 = 1,828.32 : x
  2. Step 2: Convert to fraction form
    2,077.53/2,865.33 = 1,828.32/x
  3. Step 3: Cross multiply
    2,077.53x = 2,865.33 × 1,828.32
  4. Step 4: Simplify right side
    2,077.53x = 5,238,740.15
  5. Step 5: Solve for x
    x = 5,238,740.15/2,077.53
  6. Step 6: Final answer
    x = 2,521.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.