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Finding the Fourth Proportional to 2,214.65, 3,321.96 and 1,056.89

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Solution

The fourth proportional to 2,214.65, 3,321.96 and 1,056.89 is: 1,585.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.65 : 3,321.96 = 1,056.89 : x
  2. Step 2: Convert to fraction form
    2,214.65/3,321.96 = 1,056.89/x
  3. Step 3: Cross multiply
    2,214.65x = 3,321.96 × 1,056.89
  4. Step 4: Simplify right side
    2,214.65x = 3,510,946.30
  5. Step 5: Solve for x
    x = 3,510,946.30/2,214.65
  6. Step 6: Final answer
    x = 1,585.33

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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.