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Finding the Fourth Proportional to 1,820.98, 2,513.06 and 1,035.19

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Solution

The fourth proportional to 1,820.98, 2,513.06 and 1,035.19 is: 1,428.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.98 : 2,513.06 = 1,035.19 : x
  2. Step 2: Convert to fraction form
    1,820.98/2,513.06 = 1,035.19/x
  3. Step 3: Cross multiply
    1,820.98x = 2,513.06 × 1,035.19
  4. Step 4: Simplify right side
    1,820.98x = 2,601,494.58
  5. Step 5: Solve for x
    x = 2,601,494.58/1,820.98
  6. Step 6: Final answer
    x = 1,428.62

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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.