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Finding the Fourth Proportional to 1,511.54, 2,085.36 and 921.86

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Solution

The fourth proportional to 1,511.54, 2,085.36 and 921.86 is: 1,271.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.54 : 2,085.36 = 921.86 : x
  2. Step 2: Convert to fraction form
    1,511.54/2,085.36 = 921.86/x
  3. Step 3: Cross multiply
    1,511.54x = 2,085.36 × 921.86
  4. Step 4: Simplify right side
    1,511.54x = 1,922,409.97
  5. Step 5: Solve for x
    x = 1,922,409.97/1,511.54
  6. Step 6: Final answer
    x = 1,271.82

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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.