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Finding the Fourth Proportional to 2,017.13, 3,026.10 and 1,399.10

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Solution

The fourth proportional to 2,017.13, 3,026.10 and 1,399.10 is: 2,098.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.13 : 3,026.10 = 1,399.10 : x
  2. Step 2: Convert to fraction form
    2,017.13/3,026.10 = 1,399.10/x
  3. Step 3: Cross multiply
    2,017.13x = 3,026.10 × 1,399.10
  4. Step 4: Simplify right side
    2,017.13x = 4,233,816.51
  5. Step 5: Solve for x
    x = 4,233,816.51/2,017.13
  6. Step 6: Final answer
    x = 2,098.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.