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Finding the Fourth Proportional to 1,340.64, 2,000.52 and 1,195.36

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Solution

The fourth proportional to 1,340.64, 2,000.52 and 1,195.36 is: 1,783.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.64 : 2,000.52 = 1,195.36 : x
  2. Step 2: Convert to fraction form
    1,340.64/2,000.52 = 1,195.36/x
  3. Step 3: Cross multiply
    1,340.64x = 2,000.52 × 1,195.36
  4. Step 4: Simplify right side
    1,340.64x = 2,391,341.59
  5. Step 5: Solve for x
    x = 2,391,341.59/1,340.64
  6. Step 6: Final answer
    x = 1,783.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.