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Finding the Fourth Proportional to 2,870.14, 4,305.82 and 922.34

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Solution

The fourth proportional to 2,870.14, 4,305.82 and 922.34 is: 1,383.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.14 : 4,305.82 = 922.34 : x
  2. Step 2: Convert to fraction form
    2,870.14/4,305.82 = 922.34/x
  3. Step 3: Cross multiply
    2,870.14x = 4,305.82 × 922.34
  4. Step 4: Simplify right side
    2,870.14x = 3,971,430.02
  5. Step 5: Solve for x
    x = 3,971,430.02/2,870.14
  6. Step 6: Final answer
    x = 1,383.71

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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.