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Finding the Fourth Proportional to 2,677.96, 4,017.75 and 1,118.71

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Solution

The fourth proportional to 2,677.96, 4,017.75 and 1,118.71 is: 1,678.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.96 : 4,017.75 = 1,118.71 : x
  2. Step 2: Convert to fraction form
    2,677.96/4,017.75 = 1,118.71/x
  3. Step 3: Cross multiply
    2,677.96x = 4,017.75 × 1,118.71
  4. Step 4: Simplify right side
    2,677.96x = 4,494,697.10
  5. Step 5: Solve for x
    x = 4,494,697.10/2,677.96
  6. Step 6: Final answer
    x = 1,678.40

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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.