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Finding the Fourth Proportional to 2,103.54, 3,152.79 and 1,486.32

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Solution

The fourth proportional to 2,103.54, 3,152.79 and 1,486.32 is: 2,227.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.54 : 3,152.79 = 1,486.32 : x
  2. Step 2: Convert to fraction form
    2,103.54/3,152.79 = 1,486.32/x
  3. Step 3: Cross multiply
    2,103.54x = 3,152.79 × 1,486.32
  4. Step 4: Simplify right side
    2,103.54x = 4,686,054.83
  5. Step 5: Solve for x
    x = 4,686,054.83/2,103.54
  6. Step 6: Final answer
    x = 2,227.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.