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Finding the Fourth Proportional to 1,257.10, 1,881.60 and 981.70

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Solution

The fourth proportional to 1,257.10, 1,881.60 and 981.70 is: 1,469.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.10 : 1,881.60 = 981.70 : x
  2. Step 2: Convert to fraction form
    1,257.10/1,881.60 = 981.70/x
  3. Step 3: Cross multiply
    1,257.10x = 1,881.60 × 981.70
  4. Step 4: Simplify right side
    1,257.10x = 1,847,166.72
  5. Step 5: Solve for x
    x = 1,847,166.72/1,257.10
  6. Step 6: Final answer
    x = 1,469.39

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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.