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Finding the Fourth Proportional to 1,496.63, 2,243.40 and 715.28

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Solution

The fourth proportional to 1,496.63, 2,243.40 and 715.28 is: 1,072.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.63 : 2,243.40 = 715.28 : x
  2. Step 2: Convert to fraction form
    1,496.63/2,243.40 = 715.28/x
  3. Step 3: Cross multiply
    1,496.63x = 2,243.40 × 715.28
  4. Step 4: Simplify right side
    1,496.63x = 1,604,659.15
  5. Step 5: Solve for x
    x = 1,604,659.15/1,496.63
  6. Step 6: Final answer
    x = 1,072.18

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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.