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Finding the Fourth Proportional to 1,511.30, 2,085.07 and 881.31

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Solution

The fourth proportional to 1,511.30, 2,085.07 and 881.31 is: 1,215.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.30 : 2,085.07 = 881.31 : x
  2. Step 2: Convert to fraction form
    1,511.30/2,085.07 = 881.31/x
  3. Step 3: Cross multiply
    1,511.30x = 2,085.07 × 881.31
  4. Step 4: Simplify right side
    1,511.30x = 1,837,587.43
  5. Step 5: Solve for x
    x = 1,837,587.43/1,511.30
  6. Step 6: Final answer
    x = 1,215.90

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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.