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Finding the Fourth Proportional to 1,832.14, 2,520.36 and 1,607.06

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Solution

The fourth proportional to 1,832.14, 2,520.36 and 1,607.06 is: 2,210.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.14 : 2,520.36 = 1,607.06 : x
  2. Step 2: Convert to fraction form
    1,832.14/2,520.36 = 1,607.06/x
  3. Step 3: Cross multiply
    1,832.14x = 2,520.36 × 1,607.06
  4. Step 4: Simplify right side
    1,832.14x = 4,050,369.74
  5. Step 5: Solve for x
    x = 4,050,369.74/1,832.14
  6. Step 6: Final answer
    x = 2,210.73

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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.