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Finding the Fourth Proportional to 1,354.02, 2,025.96 and 964.92

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Solution

The fourth proportional to 1,354.02, 2,025.96 and 964.92 is: 1,443.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.02 : 2,025.96 = 964.92 : x
  2. Step 2: Convert to fraction form
    1,354.02/2,025.96 = 964.92/x
  3. Step 3: Cross multiply
    1,354.02x = 2,025.96 × 964.92
  4. Step 4: Simplify right side
    1,354.02x = 1,954,889.32
  5. Step 5: Solve for x
    x = 1,954,889.32/1,354.02
  6. Step 6: Final answer
    x = 1,443.77

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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.