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Finding the Fourth Proportional to 2,051.63, 2,832.41 and 1,355.03

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Solution

The fourth proportional to 2,051.63, 2,832.41 and 1,355.03 is: 1,870.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.63 : 2,832.41 = 1,355.03 : x
  2. Step 2: Convert to fraction form
    2,051.63/2,832.41 = 1,355.03/x
  3. Step 3: Cross multiply
    2,051.63x = 2,832.41 × 1,355.03
  4. Step 4: Simplify right side
    2,051.63x = 3,838,000.52
  5. Step 5: Solve for x
    x = 3,838,000.52/2,051.63
  6. Step 6: Final answer
    x = 1,870.71

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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.