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Finding the Fourth Proportional to 2,476.06, 3,709.80 and 1,304.32

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Solution

The fourth proportional to 2,476.06, 3,709.80 and 1,304.32 is: 1,954.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.06 : 3,709.80 = 1,304.32 : x
  2. Step 2: Convert to fraction form
    2,476.06/3,709.80 = 1,304.32/x
  3. Step 3: Cross multiply
    2,476.06x = 3,709.80 × 1,304.32
  4. Step 4: Simplify right side
    2,476.06x = 4,838,766.34
  5. Step 5: Solve for x
    x = 4,838,766.34/2,476.06
  6. Step 6: Final answer
    x = 1,954.22

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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.