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Finding the Fourth Proportional to 1,349.64, 2,035.56 and 1,305.84

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Solution

The fourth proportional to 1,349.64, 2,035.56 and 1,305.84 is: 1,969.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.64 : 2,035.56 = 1,305.84 : x
  2. Step 2: Convert to fraction form
    1,349.64/2,035.56 = 1,305.84/x
  3. Step 3: Cross multiply
    1,349.64x = 2,035.56 × 1,305.84
  4. Step 4: Simplify right side
    1,349.64x = 2,658,115.67
  5. Step 5: Solve for x
    x = 2,658,115.67/1,349.64
  6. Step 6: Final answer
    x = 1,969.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.