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Finding the Fourth Proportional to 2,142.85, 3,214.28 and 2,130.70

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Solution

The fourth proportional to 2,142.85, 3,214.28 and 2,130.70 is: 3,196.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.85 : 3,214.28 = 2,130.70 : x
  2. Step 2: Convert to fraction form
    2,142.85/3,214.28 = 2,130.70/x
  3. Step 3: Cross multiply
    2,142.85x = 3,214.28 × 2,130.70
  4. Step 4: Simplify right side
    2,142.85x = 6,848,655.74
  5. Step 5: Solve for x
    x = 6,848,655.74/2,142.85
  6. Step 6: Final answer
    x = 3,196.05

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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.