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Finding the Fourth Proportional to 4,343.95, 6,510.68 and 2,000.75

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Solution

The fourth proportional to 4,343.95, 6,510.68 and 2,000.75 is: 2,998.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,343.95 : 6,510.68 = 2,000.75 : x
  2. Step 2: Convert to fraction form
    4,343.95/6,510.68 = 2,000.75/x
  3. Step 3: Cross multiply
    4,343.95x = 6,510.68 × 2,000.75
  4. Step 4: Simplify right side
    4,343.95x = 13,026,210.46
  5. Step 5: Solve for x
    x = 13,026,210.46/4,343.95
  6. Step 6: Final answer
    x = 2,998.71

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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.