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Finding the Fourth Proportional to 2,114.18, 3,173.70 and 1,297.70

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Solution

The fourth proportional to 2,114.18, 3,173.70 and 1,297.70 is: 1,948.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.18 : 3,173.70 = 1,297.70 : x
  2. Step 2: Convert to fraction form
    2,114.18/3,173.70 = 1,297.70/x
  3. Step 3: Cross multiply
    2,114.18x = 3,173.70 × 1,297.70
  4. Step 4: Simplify right side
    2,114.18x = 4,118,510.49
  5. Step 5: Solve for x
    x = 4,118,510.49/2,114.18
  6. Step 6: Final answer
    x = 1,948.04

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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.