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Finding the Fourth Proportional to 2,677.46, 4,014.63 and 1,116.99

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Solution

The fourth proportional to 2,677.46, 4,014.63 and 1,116.99 is: 1,674.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.46 : 4,014.63 = 1,116.99 : x
  2. Step 2: Convert to fraction form
    2,677.46/4,014.63 = 1,116.99/x
  3. Step 3: Cross multiply
    2,677.46x = 4,014.63 × 1,116.99
  4. Step 4: Simplify right side
    2,677.46x = 4,484,301.56
  5. Step 5: Solve for x
    x = 4,484,301.56/2,677.46
  6. Step 6: Final answer
    x = 1,674.84

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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.