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Finding the Fourth Proportional to 1,645.07, 2,270.25 and 937.03

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Solution

The fourth proportional to 1,645.07, 2,270.25 and 937.03 is: 1,293.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.07 : 2,270.25 = 937.03 : x
  2. Step 2: Convert to fraction form
    1,645.07/2,270.25 = 937.03/x
  3. Step 3: Cross multiply
    1,645.07x = 2,270.25 × 937.03
  4. Step 4: Simplify right side
    1,645.07x = 2,127,276.32
  5. Step 5: Solve for x
    x = 2,127,276.32/1,645.07
  6. Step 6: Final answer
    x = 1,293.13

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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.