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Finding the Fourth Proportional to 2,106.63, 3,153.06 and 1,904.54

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Solution

The fourth proportional to 2,106.63, 3,153.06 and 1,904.54 is: 2,850.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.63 : 3,153.06 = 1,904.54 : x
  2. Step 2: Convert to fraction form
    2,106.63/3,153.06 = 1,904.54/x
  3. Step 3: Cross multiply
    2,106.63x = 3,153.06 × 1,904.54
  4. Step 4: Simplify right side
    2,106.63x = 6,005,113.13
  5. Step 5: Solve for x
    x = 6,005,113.13/2,106.63
  6. Step 6: Final answer
    x = 2,850.58

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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.