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Finding the Fourth Proportional to 1,511.31, 2,085.66 and 881.74

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Solution

The fourth proportional to 1,511.31, 2,085.66 and 881.74 is: 1,216.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.31 : 2,085.66 = 881.74 : x
  2. Step 2: Convert to fraction form
    1,511.31/2,085.66 = 881.74/x
  3. Step 3: Cross multiply
    1,511.31x = 2,085.66 × 881.74
  4. Step 4: Simplify right side
    1,511.31x = 1,838,995.01
  5. Step 5: Solve for x
    x = 1,838,995.01/1,511.31
  6. Step 6: Final answer
    x = 1,216.82

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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.