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Finding the Fourth Proportional to 2,824.90, 4,230.06 and 1,950.10

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Solution

The fourth proportional to 2,824.90, 4,230.06 and 1,950.10 is: 2,920.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.90 : 4,230.06 = 1,950.10 : x
  2. Step 2: Convert to fraction form
    2,824.90/4,230.06 = 1,950.10/x
  3. Step 3: Cross multiply
    2,824.90x = 4,230.06 × 1,950.10
  4. Step 4: Simplify right side
    2,824.90x = 8,249,040.01
  5. Step 5: Solve for x
    x = 8,249,040.01/2,824.90
  6. Step 6: Final answer
    x = 2,920.12

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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.