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Finding the Fourth Proportional to 1,833.90, 2,530.75 and 1,037.21

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Solution

The fourth proportional to 1,833.90, 2,530.75 and 1,037.21 is: 1,431.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.90 : 2,530.75 = 1,037.21 : x
  2. Step 2: Convert to fraction form
    1,833.90/2,530.75 = 1,037.21/x
  3. Step 3: Cross multiply
    1,833.90x = 2,530.75 × 1,037.21
  4. Step 4: Simplify right side
    1,833.90x = 2,624,914.02
  5. Step 5: Solve for x
    x = 2,624,914.02/1,833.90
  6. Step 6: Final answer
    x = 1,431.33

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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.