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Finding the Fourth Proportional to 2,143.02, 3,214.53 and 910.20

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Solution

The fourth proportional to 2,143.02, 3,214.53 and 910.20 is: 1,365.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.02 : 3,214.53 = 910.20 : x
  2. Step 2: Convert to fraction form
    2,143.02/3,214.53 = 910.20/x
  3. Step 3: Cross multiply
    2,143.02x = 3,214.53 × 910.20
  4. Step 4: Simplify right side
    2,143.02x = 2,925,865.21
  5. Step 5: Solve for x
    x = 2,925,865.21/2,143.02
  6. Step 6: Final answer
    x = 1,365.30

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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.