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Finding the Fourth Proportional to 2,050.31, 2,829.50 and 1,118.81

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Solution

The fourth proportional to 2,050.31, 2,829.50 and 1,118.81 is: 1,544.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.31 : 2,829.50 = 1,118.81 : x
  2. Step 2: Convert to fraction form
    2,050.31/2,829.50 = 1,118.81/x
  3. Step 3: Cross multiply
    2,050.31x = 2,829.50 × 1,118.81
  4. Step 4: Simplify right side
    2,050.31x = 3,165,678.57
  5. Step 5: Solve for x
    x = 3,165,678.57/2,050.31
  6. Step 6: Final answer
    x = 1,544.00

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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.