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Finding the Fourth Proportional to 3,100.51, 4,651.45 and 1,020.43

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Solution

The fourth proportional to 3,100.51, 4,651.45 and 1,020.43 is: 1,530.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.51 : 4,651.45 = 1,020.43 : x
  2. Step 2: Convert to fraction form
    3,100.51/4,651.45 = 1,020.43/x
  3. Step 3: Cross multiply
    3,100.51x = 4,651.45 × 1,020.43
  4. Step 4: Simplify right side
    3,100.51x = 4,746,479.12
  5. Step 5: Solve for x
    x = 4,746,479.12/3,100.51
  6. Step 6: Final answer
    x = 1,530.87

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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.