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Finding the Fourth Proportional to 1,945.93, 2,918.02 and 558.95

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Solution

The fourth proportional to 1,945.93, 2,918.02 and 558.95 is: 838.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.93 : 2,918.02 = 558.95 : x
  2. Step 2: Convert to fraction form
    1,945.93/2,918.02 = 558.95/x
  3. Step 3: Cross multiply
    1,945.93x = 2,918.02 × 558.95
  4. Step 4: Simplify right side
    1,945.93x = 1,631,027.28
  5. Step 5: Solve for x
    x = 1,631,027.28/1,945.93
  6. Step 6: Final answer
    x = 838.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.