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Finding the Fourth Proportional to 2,157.40, 2,978.78 and 1,493.10

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Solution

The fourth proportional to 2,157.40, 2,978.78 and 1,493.10 is: 2,061.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.40 : 2,978.78 = 1,493.10 : x
  2. Step 2: Convert to fraction form
    2,157.40/2,978.78 = 1,493.10/x
  3. Step 3: Cross multiply
    2,157.40x = 2,978.78 × 1,493.10
  4. Step 4: Simplify right side
    2,157.40x = 4,447,616.42
  5. Step 5: Solve for x
    x = 4,447,616.42/2,157.40
  6. Step 6: Final answer
    x = 2,061.56

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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.