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Finding the Fourth Proportional to 2,113.98, 3,172.34 and 944.70

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Solution

The fourth proportional to 2,113.98, 3,172.34 and 944.70 is: 1,417.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.98 : 3,172.34 = 944.70 : x
  2. Step 2: Convert to fraction form
    2,113.98/3,172.34 = 944.70/x
  3. Step 3: Cross multiply
    2,113.98x = 3,172.34 × 944.70
  4. Step 4: Simplify right side
    2,113.98x = 2,996,889.01
  5. Step 5: Solve for x
    x = 2,996,889.01/2,113.98
  6. Step 6: Final answer
    x = 1,417.65

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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.