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Finding the Fourth Proportional to 1,441.31, 1,988.82 and 910.00

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Solution

The fourth proportional to 1,441.31, 1,988.82 and 910.00 is: 1,255.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.31 : 1,988.82 = 910.00 : x
  2. Step 2: Convert to fraction form
    1,441.31/1,988.82 = 910.00/x
  3. Step 3: Cross multiply
    1,441.31x = 1,988.82 × 910.00
  4. Step 4: Simplify right side
    1,441.31x = 1,809,822.22
  5. Step 5: Solve for x
    x = 1,809,822.22/1,441.31
  6. Step 6: Final answer
    x = 1,255.68

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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.