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Finding the Fourth Proportional to 1,821.59, 2,513.87 and 1,035.71

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Solution

The fourth proportional to 1,821.59, 2,513.87 and 1,035.71 is: 1,429.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.59 : 2,513.87 = 1,035.71 : x
  2. Step 2: Convert to fraction form
    1,821.59/2,513.87 = 1,035.71/x
  3. Step 3: Cross multiply
    1,821.59x = 2,513.87 × 1,035.71
  4. Step 4: Simplify right side
    1,821.59x = 2,603,640.30
  5. Step 5: Solve for x
    x = 2,603,640.30/1,821.59
  6. Step 6: Final answer
    x = 1,429.32

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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.