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Finding the Fourth Proportional to 1,304.04, 1,953.75 and 1,083.38

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Solution

The fourth proportional to 1,304.04, 1,953.75 and 1,083.38 is: 1,623.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.04 : 1,953.75 = 1,083.38 : x
  2. Step 2: Convert to fraction form
    1,304.04/1,953.75 = 1,083.38/x
  3. Step 3: Cross multiply
    1,304.04x = 1,953.75 × 1,083.38
  4. Step 4: Simplify right side
    1,304.04x = 2,116,643.91
  5. Step 5: Solve for x
    x = 2,116,643.91/1,304.04
  6. Step 6: Final answer
    x = 1,623.14

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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.