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Finding the Fourth Proportional to 1,410.01, 1,945.86 and 937.08

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Solution

The fourth proportional to 1,410.01, 1,945.86 and 937.08 is: 1,293.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.01 : 1,945.86 = 937.08 : x
  2. Step 2: Convert to fraction form
    1,410.01/1,945.86 = 937.08/x
  3. Step 3: Cross multiply
    1,410.01x = 1,945.86 × 937.08
  4. Step 4: Simplify right side
    1,410.01x = 1,823,422.97
  5. Step 5: Solve for x
    x = 1,823,422.97/1,410.01
  6. Step 6: Final answer
    x = 1,293.20

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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.