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Finding the Fourth Proportional to 3,146.49, 4,712.54 and 1,504.17

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Solution

The fourth proportional to 3,146.49, 4,712.54 and 1,504.17 is: 2,252.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.49 : 4,712.54 = 1,504.17 : x
  2. Step 2: Convert to fraction form
    3,146.49/4,712.54 = 1,504.17/x
  3. Step 3: Cross multiply
    3,146.49x = 4,712.54 × 1,504.17
  4. Step 4: Simplify right side
    3,146.49x = 7,088,453.77
  5. Step 5: Solve for x
    x = 7,088,453.77/3,146.49
  6. Step 6: Final answer
    x = 2,252.81

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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.