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Finding the Fourth Proportional to 2,143.02, 3,214.20 and 583.14

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Solution

The fourth proportional to 2,143.02, 3,214.20 and 583.14 is: 874.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.02 : 3,214.20 = 583.14 : x
  2. Step 2: Convert to fraction form
    2,143.02/3,214.20 = 583.14/x
  3. Step 3: Cross multiply
    2,143.02x = 3,214.20 × 583.14
  4. Step 4: Simplify right side
    2,143.02x = 1,874,328.59
  5. Step 5: Solve for x
    x = 1,874,328.59/2,143.02
  6. Step 6: Final answer
    x = 874.62

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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.