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Finding the Fourth Proportional to 2,763.67, 4,140.28 and 2,140.03

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Solution

The fourth proportional to 2,763.67, 4,140.28 and 2,140.03 is: 3,206.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.67 : 4,140.28 = 2,140.03 : x
  2. Step 2: Convert to fraction form
    2,763.67/4,140.28 = 2,140.03/x
  3. Step 3: Cross multiply
    2,763.67x = 4,140.28 × 2,140.03
  4. Step 4: Simplify right side
    2,763.67x = 8,860,312.71
  5. Step 5: Solve for x
    x = 8,860,312.71/2,763.67
  6. Step 6: Final answer
    x = 3,206.00

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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.