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Finding the Fourth Proportional to 1,445.03, 1,996.41 and 947.49

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Solution

The fourth proportional to 1,445.03, 1,996.41 and 947.49 is: 1,309.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.03 : 1,996.41 = 947.49 : x
  2. Step 2: Convert to fraction form
    1,445.03/1,996.41 = 947.49/x
  3. Step 3: Cross multiply
    1,445.03x = 1,996.41 × 947.49
  4. Step 4: Simplify right side
    1,445.03x = 1,891,578.51
  5. Step 5: Solve for x
    x = 1,891,578.51/1,445.03
  6. Step 6: Final answer
    x = 1,309.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.