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Finding the Fourth Proportional to 2,142.40, 2,956.03 and 1,355.99

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Solution

The fourth proportional to 2,142.40, 2,956.03 and 1,355.99 is: 1,870.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.40 : 2,956.03 = 1,355.99 : x
  2. Step 2: Convert to fraction form
    2,142.40/2,956.03 = 1,355.99/x
  3. Step 3: Cross multiply
    2,142.40x = 2,956.03 × 1,355.99
  4. Step 4: Simplify right side
    2,142.40x = 4,008,325.56
  5. Step 5: Solve for x
    x = 4,008,325.56/2,142.40
  6. Step 6: Final answer
    x = 1,870.96

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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.