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Finding the Fourth Proportional to 1,832.54, 2,529.35 and 1,774.17

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Solution

The fourth proportional to 1,832.54, 2,529.35 and 1,774.17 is: 2,448.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.54 : 2,529.35 = 1,774.17 : x
  2. Step 2: Convert to fraction form
    1,832.54/2,529.35 = 1,774.17/x
  3. Step 3: Cross multiply
    1,832.54x = 2,529.35 × 1,774.17
  4. Step 4: Simplify right side
    1,832.54x = 4,487,477.76
  5. Step 5: Solve for x
    x = 4,487,477.76/1,832.54
  6. Step 6: Final answer
    x = 2,448.77

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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.