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Finding the Fourth Proportional to 2,157.14, 2,977.17 and 1,213.01

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Solution

The fourth proportional to 2,157.14, 2,977.17 and 1,213.01 is: 1,674.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.14 : 2,977.17 = 1,213.01 : x
  2. Step 2: Convert to fraction form
    2,157.14/2,977.17 = 1,213.01/x
  3. Step 3: Cross multiply
    2,157.14x = 2,977.17 × 1,213.01
  4. Step 4: Simplify right side
    2,157.14x = 3,611,328.71
  5. Step 5: Solve for x
    x = 3,611,328.71/2,157.14
  6. Step 6: Final answer
    x = 1,674.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.