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Finding the Fourth Proportional to 1,511.48, 2,085.89 and 848.41

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Solution

The fourth proportional to 1,511.48, 2,085.89 and 848.41 is: 1,170.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.48 : 2,085.89 = 848.41 : x
  2. Step 2: Convert to fraction form
    1,511.48/2,085.89 = 848.41/x
  3. Step 3: Cross multiply
    1,511.48x = 2,085.89 × 848.41
  4. Step 4: Simplify right side
    1,511.48x = 1,769,680.48
  5. Step 5: Solve for x
    x = 1,769,680.48/1,511.48
  6. Step 6: Final answer
    x = 1,170.82

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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.