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Finding the Fourth Proportional to 2,214.52, 3,325.02 and 1,352.68

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Solution

The fourth proportional to 2,214.52, 3,325.02 and 1,352.68 is: 2,031.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.52 : 3,325.02 = 1,352.68 : x
  2. Step 2: Convert to fraction form
    2,214.52/3,325.02 = 1,352.68/x
  3. Step 3: Cross multiply
    2,214.52x = 3,325.02 × 1,352.68
  4. Step 4: Simplify right side
    2,214.52x = 4,497,688.05
  5. Step 5: Solve for x
    x = 4,497,688.05/2,214.52
  6. Step 6: Final answer
    x = 2,031.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.