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Finding the Fourth Proportional to 1,410.93, 1,945.76 and 913.39

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Solution

The fourth proportional to 1,410.93, 1,945.76 and 913.39 is: 1,259.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.93 : 1,945.76 = 913.39 : x
  2. Step 2: Convert to fraction form
    1,410.93/1,945.76 = 913.39/x
  3. Step 3: Cross multiply
    1,410.93x = 1,945.76 × 913.39
  4. Step 4: Simplify right side
    1,410.93x = 1,777,237.73
  5. Step 5: Solve for x
    x = 1,777,237.73/1,410.93
  6. Step 6: Final answer
    x = 1,259.62

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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.