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Finding the Fourth Proportional to 2,133.52, 3,193.04 and 1,312.32

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Solution

The fourth proportional to 2,133.52, 3,193.04 and 1,312.32 is: 1,964.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.52 : 3,193.04 = 1,312.32 : x
  2. Step 2: Convert to fraction form
    2,133.52/3,193.04 = 1,312.32/x
  3. Step 3: Cross multiply
    2,133.52x = 3,193.04 × 1,312.32
  4. Step 4: Simplify right side
    2,133.52x = 4,190,290.25
  5. Step 5: Solve for x
    x = 4,190,290.25/2,133.52
  6. Step 6: Final answer
    x = 1,964.03

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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.