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Finding the Fourth Proportional to 1,419.12, 1,956.99 and 921.57

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Solution

The fourth proportional to 1,419.12, 1,956.99 and 921.57 is: 1,270.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.12 : 1,956.99 = 921.57 : x
  2. Step 2: Convert to fraction form
    1,419.12/1,956.99 = 921.57/x
  3. Step 3: Cross multiply
    1,419.12x = 1,956.99 × 921.57
  4. Step 4: Simplify right side
    1,419.12x = 1,803,503.27
  5. Step 5: Solve for x
    x = 1,803,503.27/1,419.12
  6. Step 6: Final answer
    x = 1,270.86

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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.