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Finding the Fourth Proportional to 1,828.24, 2,742.62 and 578.41

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Solution

The fourth proportional to 1,828.24, 2,742.62 and 578.41 is: 867.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.24 : 2,742.62 = 578.41 : x
  2. Step 2: Convert to fraction form
    1,828.24/2,742.62 = 578.41/x
  3. Step 3: Cross multiply
    1,828.24x = 2,742.62 × 578.41
  4. Step 4: Simplify right side
    1,828.24x = 1,586,358.83
  5. Step 5: Solve for x
    x = 1,586,358.83/1,828.24
  6. Step 6: Final answer
    x = 867.70

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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.