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Finding the Fourth Proportional to 2,870.20, 4,305.66 and 922.36

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Solution

The fourth proportional to 2,870.20, 4,305.66 and 922.36 is: 1,383.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.20 : 4,305.66 = 922.36 : x
  2. Step 2: Convert to fraction form
    2,870.20/4,305.66 = 922.36/x
  3. Step 3: Cross multiply
    2,870.20x = 4,305.66 × 922.36
  4. Step 4: Simplify right side
    2,870.20x = 3,971,368.56
  5. Step 5: Solve for x
    x = 3,971,368.56/2,870.20
  6. Step 6: Final answer
    x = 1,383.66

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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.