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Finding the Fourth Proportional to 4,300.12, 6,451.80 and 1,990

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Solution

The fourth proportional to 4,300.12, 6,451.80 and 1,990 is: 2,985.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,300.12 : 6,451.80 = 1,990 : x
  2. Step 2: Convert to fraction form
    4,300.12/6,451.80 = 1,990/x
  3. Step 3: Cross multiply
    4,300.12x = 6,451.80 × 1,990
  4. Step 4: Simplify right side
    4,300.12x = 12,839,082
  5. Step 5: Solve for x
    x = 12,839,082/4,300.12
  6. Step 6: Final answer
    x = 2,985.75

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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.