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Finding the Fourth Proportional to 1,821.57, 2,513.78 and 1,035.66

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Solution

The fourth proportional to 1,821.57, 2,513.78 and 1,035.66 is: 1,429.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.57 : 2,513.78 = 1,035.66 : x
  2. Step 2: Convert to fraction form
    1,821.57/2,513.78 = 1,035.66/x
  3. Step 3: Cross multiply
    1,821.57x = 2,513.78 × 1,035.66
  4. Step 4: Simplify right side
    1,821.57x = 2,603,416.22
  5. Step 5: Solve for x
    x = 2,603,416.22/1,821.57
  6. Step 6: Final answer
    x = 1,429.22

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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.