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Finding the Fourth Proportional to 1,881.83, 2,807.40 and 1,833.50

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Solution

The fourth proportional to 1,881.83, 2,807.40 and 1,833.50 is: 2,735.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.83 : 2,807.40 = 1,833.50 : x
  2. Step 2: Convert to fraction form
    1,881.83/2,807.40 = 1,833.50/x
  3. Step 3: Cross multiply
    1,881.83x = 2,807.40 × 1,833.50
  4. Step 4: Simplify right side
    1,881.83x = 5,147,353.86
  5. Step 5: Solve for x
    x = 5,147,353.86/1,881.83
  6. Step 6: Final answer
    x = 2,735.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.