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Finding the Fourth Proportional to 1,304.48, 1,964.86 and 1,214.32

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Solution

The fourth proportional to 1,304.48, 1,964.86 and 1,214.32 is: 1,829.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.48 : 1,964.86 = 1,214.32 : x
  2. Step 2: Convert to fraction form
    1,304.48/1,964.86 = 1,214.32/x
  3. Step 3: Cross multiply
    1,304.48x = 1,964.86 × 1,214.32
  4. Step 4: Simplify right side
    1,304.48x = 2,385,968.80
  5. Step 5: Solve for x
    x = 2,385,968.80/1,304.48
  6. Step 6: Final answer
    x = 1,829.06

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