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Finding the Fourth Proportional to 2,107.46, 3,157.25 and 1,763.01

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Solution

The fourth proportional to 2,107.46, 3,157.25 and 1,763.01 is: 2,641.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.46 : 3,157.25 = 1,763.01 : x
  2. Step 2: Convert to fraction form
    2,107.46/3,157.25 = 1,763.01/x
  3. Step 3: Cross multiply
    2,107.46x = 3,157.25 × 1,763.01
  4. Step 4: Simplify right side
    2,107.46x = 5,566,254.51
  5. Step 5: Solve for x
    x = 5,566,254.51/2,107.46
  6. Step 6: Final answer
    x = 2,641.21

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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.