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Finding the Fourth Proportional to 1,832.52, 2,752.20 and 1,572.96

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Solution

The fourth proportional to 1,832.52, 2,752.20 and 1,572.96 is: 2,362.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.52 : 2,752.20 = 1,572.96 : x
  2. Step 2: Convert to fraction form
    1,832.52/2,752.20 = 1,572.96/x
  3. Step 3: Cross multiply
    1,832.52x = 2,752.20 × 1,572.96
  4. Step 4: Simplify right side
    1,832.52x = 4,329,100.51
  5. Step 5: Solve for x
    x = 4,329,100.51/1,832.52
  6. Step 6: Final answer
    x = 2,362.38

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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.