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Finding the Fourth Proportional to 3,138.75, 4,706.90 and 1,677.10

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Solution

The fourth proportional to 3,138.75, 4,706.90 and 1,677.10 is: 2,515.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.75 : 4,706.90 = 1,677.10 : x
  2. Step 2: Convert to fraction form
    3,138.75/4,706.90 = 1,677.10/x
  3. Step 3: Cross multiply
    3,138.75x = 4,706.90 × 1,677.10
  4. Step 4: Simplify right side
    3,138.75x = 7,893,941.99
  5. Step 5: Solve for x
    x = 7,893,941.99/3,138.75
  6. Step 6: Final answer
    x = 2,515.00

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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.