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Finding the Fourth Proportional to 2,107.01, 3,162.65 and 1,900.17

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Solution

The fourth proportional to 2,107.01, 3,162.65 and 1,900.17 is: 2,852.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.01 : 3,162.65 = 1,900.17 : x
  2. Step 2: Convert to fraction form
    2,107.01/3,162.65 = 1,900.17/x
  3. Step 3: Cross multiply
    2,107.01x = 3,162.65 × 1,900.17
  4. Step 4: Simplify right side
    2,107.01x = 6,009,572.65
  5. Step 5: Solve for x
    x = 6,009,572.65/2,107.01
  6. Step 6: Final answer
    x = 2,852.18

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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.